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Rutgers University

1.
Qi, Fei, 1986-.
Representation theory and cohomology theory of meromorphic open-string *vertex* * algebras*.

Degree: PhD, Mathematics, 2018, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/57683/

►

In this dissertation we systematically study the meromorphic open-string *vertex* algebra, its representation theory, and its the cohomology theory. Meromorphic open-string *vertex* algebra (MOSVA hereafter)…
(more)

Subjects/Keywords: Vertex operator algebras

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APA (6^{th} Edition):

Qi, Fei, 1. (2018). Representation theory and cohomology theory of meromorphic open-string vertex algebras. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/57683/

Chicago Manual of Style (16^{th} Edition):

Qi, Fei, 1986-. “Representation theory and cohomology theory of meromorphic open-string vertex algebras.” 2018. Doctoral Dissertation, Rutgers University. Accessed September 20, 2020. https://rucore.libraries.rutgers.edu/rutgers-lib/57683/.

MLA Handbook (7^{th} Edition):

Qi, Fei, 1986-. “Representation theory and cohomology theory of meromorphic open-string vertex algebras.” 2018. Web. 20 Sep 2020.

Vancouver:

Qi, Fei 1. Representation theory and cohomology theory of meromorphic open-string vertex algebras. [Internet] [Doctoral dissertation]. Rutgers University; 2018. [cited 2020 Sep 20]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/57683/.

Council of Science Editors:

Qi, Fei 1. Representation theory and cohomology theory of meromorphic open-string vertex algebras. [Doctoral Dissertation]. Rutgers University; 2018. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/57683/

Hong Kong University of Science and Technology

2.
Zhao, Hongbo.
On *vertex* *operator* *algebras* associated to Jordan * algebras*.

Degree: 2017, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-89179 ; https://doi.org/10.14711/thesis-991012530268203412 ; http://repository.ust.hk/ir/bitstream/1783.1-89179/1/th_redirect.html

► In this thesis, we study the VOA V_{J,r} associated to a Hermitian type Jordan algebra J, and mainly discuss the case when J is of…
(more)

Subjects/Keywords: Vertex operator algebras ; Jordan algebras

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APA (6^{th} Edition):

Zhao, H. (2017). On vertex operator algebras associated to Jordan algebras. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-89179 ; https://doi.org/10.14711/thesis-991012530268203412 ; http://repository.ust.hk/ir/bitstream/1783.1-89179/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Zhao, Hongbo. “On vertex operator algebras associated to Jordan algebras.” 2017. Thesis, Hong Kong University of Science and Technology. Accessed September 20, 2020. http://repository.ust.hk/ir/Record/1783.1-89179 ; https://doi.org/10.14711/thesis-991012530268203412 ; http://repository.ust.hk/ir/bitstream/1783.1-89179/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Zhao, Hongbo. “On vertex operator algebras associated to Jordan algebras.” 2017. Web. 20 Sep 2020.

Vancouver:

Zhao H. On vertex operator algebras associated to Jordan algebras. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2017. [cited 2020 Sep 20]. Available from: http://repository.ust.hk/ir/Record/1783.1-89179 ; https://doi.org/10.14711/thesis-991012530268203412 ; http://repository.ust.hk/ir/bitstream/1783.1-89179/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zhao H. On vertex operator algebras associated to Jordan algebras. [Thesis]. Hong Kong University of Science and Technology; 2017. Available from: http://repository.ust.hk/ir/Record/1783.1-89179 ; https://doi.org/10.14711/thesis-991012530268203412 ; http://repository.ust.hk/ir/bitstream/1783.1-89179/1/th_redirect.html

Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University

3.
Kanade, Shashank.
Some results on the representation theory of *vertex* *operator* *algebras* and integer partition identities.

Degree: PhD, Mathematics, 2015, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/47453/

►

Integer partition identities such as the Rogers-Ramanujan identities have deep relations with the representation theory of *vertex* *operator* *algebras*, among many other fields of mathematics…
(more)

Subjects/Keywords: Vertex operator algebras; Partitions (Mathematics)

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APA (6^{th} Edition):

Kanade, S. (2015). Some results on the representation theory of vertex operator algebras and integer partition identities. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/47453/

Chicago Manual of Style (16^{th} Edition):

Kanade, Shashank. “Some results on the representation theory of vertex operator algebras and integer partition identities.” 2015. Doctoral Dissertation, Rutgers University. Accessed September 20, 2020. https://rucore.libraries.rutgers.edu/rutgers-lib/47453/.

MLA Handbook (7^{th} Edition):

Kanade, Shashank. “Some results on the representation theory of vertex operator algebras and integer partition identities.” 2015. Web. 20 Sep 2020.

Vancouver:

Kanade S. Some results on the representation theory of vertex operator algebras and integer partition identities. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2020 Sep 20]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47453/.

Council of Science Editors:

Kanade S. Some results on the representation theory of vertex operator algebras and integer partition identities. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47453/

Virginia Commonwealth University

4.
Gaskill, Patrick.
Modular Forms and *Vertex* *Operator* * Algebras*.

Degree: MS, Mathematical Sciences, 2013, Virginia Commonwealth University

URL: https://doi.org/10.25772/XZZ3-7Z40 ; https://scholarscompass.vcu.edu/etd/3177

► In this thesis we present the connection between *vertex* *operator* *algebras* and modular forms which lies at the heart of Borcherds’ proof of the Monstrous…
(more)

Subjects/Keywords: modular forms; vertex algebras; vertex operator algebras; Physical Sciences and Mathematics

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APA (6^{th} Edition):

Gaskill, P. (2013). Modular Forms and Vertex Operator Algebras. (Thesis). Virginia Commonwealth University. Retrieved from https://doi.org/10.25772/XZZ3-7Z40 ; https://scholarscompass.vcu.edu/etd/3177

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Gaskill, Patrick. “Modular Forms and Vertex Operator Algebras.” 2013. Thesis, Virginia Commonwealth University. Accessed September 20, 2020. https://doi.org/10.25772/XZZ3-7Z40 ; https://scholarscompass.vcu.edu/etd/3177.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Gaskill, Patrick. “Modular Forms and Vertex Operator Algebras.” 2013. Web. 20 Sep 2020.

Vancouver:

Gaskill P. Modular Forms and Vertex Operator Algebras. [Internet] [Thesis]. Virginia Commonwealth University; 2013. [cited 2020 Sep 20]. Available from: https://doi.org/10.25772/XZZ3-7Z40 ; https://scholarscompass.vcu.edu/etd/3177.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gaskill P. Modular Forms and Vertex Operator Algebras. [Thesis]. Virginia Commonwealth University; 2013. Available from: https://doi.org/10.25772/XZZ3-7Z40 ; https://scholarscompass.vcu.edu/etd/3177

Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University

5.
Yang, Jinwei, 1982-.
Some results in the representation theory of strongly graded *vertex* * algebras*.

Degree: Mathematics, 2014, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/44320/

Subjects/Keywords: Vertex operator algebras

Record Details Similar Records

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APA (6^{th} Edition):

Yang, Jinwei, 1. (2014). Some results in the representation theory of strongly graded vertex algebras. (Thesis). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/44320/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Yang, Jinwei, 1982-. “Some results in the representation theory of strongly graded vertex algebras.” 2014. Thesis, Rutgers University. Accessed September 20, 2020. https://rucore.libraries.rutgers.edu/rutgers-lib/44320/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Yang, Jinwei, 1982-. “Some results in the representation theory of strongly graded vertex algebras.” 2014. Web. 20 Sep 2020.

Vancouver:

Yang, Jinwei 1. Some results in the representation theory of strongly graded vertex algebras. [Internet] [Thesis]. Rutgers University; 2014. [cited 2020 Sep 20]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/44320/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yang, Jinwei 1. Some results in the representation theory of strongly graded vertex algebras. [Thesis]. Rutgers University; 2014. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/44320/

Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University

6.
McRae, Robert H., 1987-.
Integral forms for certain classes of *vertex* *operator* *algebras* and their modules.

Degree: Mathematics, 2014, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/44176/

Subjects/Keywords: Vertex operator algebras

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

McRae, Robert H., 1. (2014). Integral forms for certain classes of vertex operator algebras and their modules. (Thesis). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/44176/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

McRae, Robert H., 1987-. “Integral forms for certain classes of vertex operator algebras and their modules.” 2014. Thesis, Rutgers University. Accessed September 20, 2020. https://rucore.libraries.rutgers.edu/rutgers-lib/44176/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

McRae, Robert H., 1987-. “Integral forms for certain classes of vertex operator algebras and their modules.” 2014. Web. 20 Sep 2020.

Vancouver:

McRae, Robert H. 1. Integral forms for certain classes of vertex operator algebras and their modules. [Internet] [Thesis]. Rutgers University; 2014. [cited 2020 Sep 20]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/44176/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

McRae, Robert H. 1. Integral forms for certain classes of vertex operator algebras and their modules. [Thesis]. Rutgers University; 2014. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/44176/

Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University

7.
Sadowski, Christopher Michael.
On the structure of principal subspaces of standard modules for affine Lie *algebras* of type A.

Degree: Mathematics, 2014, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/44206/

Subjects/Keywords: Lie algebras; Vertex operator algebras

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APA (6^{th} Edition):

Sadowski, C. M. (2014). On the structure of principal subspaces of standard modules for affine Lie algebras of type A. (Thesis). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/44206/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Sadowski, Christopher Michael. “On the structure of principal subspaces of standard modules for affine Lie algebras of type A.” 2014. Thesis, Rutgers University. Accessed September 20, 2020. https://rucore.libraries.rutgers.edu/rutgers-lib/44206/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Sadowski, Christopher Michael. “On the structure of principal subspaces of standard modules for affine Lie algebras of type A.” 2014. Web. 20 Sep 2020.

Vancouver:

Sadowski CM. On the structure of principal subspaces of standard modules for affine Lie algebras of type A. [Internet] [Thesis]. Rutgers University; 2014. [cited 2020 Sep 20]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/44206/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sadowski CM. On the structure of principal subspaces of standard modules for affine Lie algebras of type A. [Thesis]. Rutgers University; 2014. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/44206/

Not specified: Masters Thesis or Doctoral Dissertation

Universiteit Utrecht

8. Wasserman, T.A. Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model.

Degree: 2012, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/253427

► In this thesis both mathematical and physical aspects of orbifold conformal field theory are described. We present a set-up to do a one-loop self-energy computation…
(more)

Subjects/Keywords: Conformal field theory; string theory; vertex operator algebras; twist fields; twisted vertex algebras; covering maps; orbifold conformal field theory; vertex algebras; conformal vertex algebras; riemann surfaces; theta functions

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APA (6^{th} Edition):

Wasserman, T. A. (2012). Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/253427

Chicago Manual of Style (16^{th} Edition):

Wasserman, T A. “Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model.” 2012. Masters Thesis, Universiteit Utrecht. Accessed September 20, 2020. http://dspace.library.uu.nl:8080/handle/1874/253427.

MLA Handbook (7^{th} Edition):

Wasserman, T A. “Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model.” 2012. Web. 20 Sep 2020.

Vancouver:

Wasserman TA. Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model. [Internet] [Masters thesis]. Universiteit Utrecht; 2012. [cited 2020 Sep 20]. Available from: http://dspace.library.uu.nl:8080/handle/1874/253427.

Council of Science Editors:

Wasserman TA. Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model. [Masters Thesis]. Universiteit Utrecht; 2012. Available from: http://dspace.library.uu.nl:8080/handle/1874/253427

9.
Chen, Shr-Jing.
*Vertex**operator* *algebras* and integrable systems.

Degree: MS, Physics and Astronomy, 2009, Rutgers University

URL: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498

► The goal of this thesis is to explicitly construct *vertex* *operator* *algebras* and their representations from classical integrable systems. We first construct a module for…
(more)

Subjects/Keywords: Vertex operator algebras

…CH].
✷
Using the theory of *vertex* *operator* *algebras*, we obtain from Theorem 4.0.8… …as an U-module
is lower-truncated. From the theory of
ˆ
*vertex* *operator* *algebras*, any lower… …Y.-Z, Two-Dimensional Conformal Geometry and *Vertex* *Operator*
*Algebras*, Progress in Math… …for the affine Lie algebra U
corresponding *vertex* *operator* algebra
In this section, we use… …*vertex* *operator* algebra whose underlying
16
ˆ with level 0
vector space is the generalized…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chen, S. (2009). Vertex operator algebras and integrable systems. (Masters Thesis). Rutgers University. Retrieved from http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498

Chicago Manual of Style (16^{th} Edition):

Chen, Shr-Jing. “Vertex operator algebras and integrable systems.” 2009. Masters Thesis, Rutgers University. Accessed September 20, 2020. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498.

MLA Handbook (7^{th} Edition):

Chen, Shr-Jing. “Vertex operator algebras and integrable systems.” 2009. Web. 20 Sep 2020.

Vancouver:

Chen S. Vertex operator algebras and integrable systems. [Internet] [Masters thesis]. Rutgers University; 2009. [cited 2020 Sep 20]. Available from: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498.

Council of Science Editors:

Chen S. Vertex operator algebras and integrable systems. [Masters Thesis]. Rutgers University; 2009. Available from: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498

10.
Robinson, Thomas J.
Formal calculus, umbral calculus, and basic axiomatics of *vertex* *algebras*:.

Degree: PhD, Mathematics, 2009, Rutgers University

URL: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051897

►

The central *subject* of this thesis is formal calculus together with certain applications to *vertex* *operator* *algebras* and combinatorics. By formal calculus we mean mainly…
(more)

Subjects/Keywords: Calculus; Vertex operator algebras

…together with certain applications
to *vertex* *operator* *algebras* and combinatorics. By formal… …results to study some basic axiomatics
of *vertex* (*operator*) *algebras*. In particular… …very briefly review some highlights in the development
of *vertex* *operator* *algebras* and umbral… …*vertex* *operator*
*algebras*, sometimes called chiral *algebras*. There has been a huge amount of… …umbral calculus and
*vertex* *operator* *algebras* were observed. All of this work was originally in…

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APA (6^{th} Edition):

Robinson, T. J. (2009). Formal calculus, umbral calculus, and basic axiomatics of vertex algebras:. (Doctoral Dissertation). Rutgers University. Retrieved from http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051897

Chicago Manual of Style (16^{th} Edition):

Robinson, Thomas J. “Formal calculus, umbral calculus, and basic axiomatics of vertex algebras:.” 2009. Doctoral Dissertation, Rutgers University. Accessed September 20, 2020. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051897.

MLA Handbook (7^{th} Edition):

Robinson, Thomas J. “Formal calculus, umbral calculus, and basic axiomatics of vertex algebras:.” 2009. Web. 20 Sep 2020.

Vancouver:

Robinson TJ. Formal calculus, umbral calculus, and basic axiomatics of vertex algebras:. [Internet] [Doctoral dissertation]. Rutgers University; 2009. [cited 2020 Sep 20]. Available from: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051897.

Council of Science Editors:

Robinson TJ. Formal calculus, umbral calculus, and basic axiomatics of vertex algebras:. [Doctoral Dissertation]. Rutgers University; 2009. Available from: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051897

University of Lund

11.
Edlund, Thomas.
On *Vertex* *Operator* *Algebras* of Affine Type at Admissible
Levels.

Degree: 2013, University of Lund

URL: https://lup.lub.lu.se/record/3242468 ; https://portal.research.lu.se/ws/files/3771824/3242469.pdf

► The main purpose of this thesis is the study of the structure and representation theory of simple *vertex* *operator* *algebras* (VOAs) of affine type at…
(more)

Subjects/Keywords: Mathematics; Vertex operator algebras; Kac-Moody algebras; Ore localization; Admissible levels; Singular vectors; Intertwining operators

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APA (6^{th} Edition):

Edlund, T. (2013). On Vertex Operator Algebras of Affine Type at Admissible Levels. (Doctoral Dissertation). University of Lund. Retrieved from https://lup.lub.lu.se/record/3242468 ; https://portal.research.lu.se/ws/files/3771824/3242469.pdf

Chicago Manual of Style (16^{th} Edition):

Edlund, Thomas. “On Vertex Operator Algebras of Affine Type at Admissible Levels.” 2013. Doctoral Dissertation, University of Lund. Accessed September 20, 2020. https://lup.lub.lu.se/record/3242468 ; https://portal.research.lu.se/ws/files/3771824/3242469.pdf.

MLA Handbook (7^{th} Edition):

Edlund, Thomas. “On Vertex Operator Algebras of Affine Type at Admissible Levels.” 2013. Web. 20 Sep 2020.

Vancouver:

Edlund T. On Vertex Operator Algebras of Affine Type at Admissible Levels. [Internet] [Doctoral dissertation]. University of Lund; 2013. [cited 2020 Sep 20]. Available from: https://lup.lub.lu.se/record/3242468 ; https://portal.research.lu.se/ws/files/3771824/3242469.pdf.

Council of Science Editors:

Edlund T. On Vertex Operator Algebras of Affine Type at Admissible Levels. [Doctoral Dissertation]. University of Lund; 2013. Available from: https://lup.lub.lu.se/record/3242468 ; https://portal.research.lu.se/ws/files/3771824/3242469.pdf

National University of Ireland – Galway

12.
Welby, Michael.
Zhu reduction theory for *vertex* *operator* *algebras* on Riemann surfaces
.

Degree: 2019, National University of Ireland – Galway

URL: http://hdl.handle.net/10379/15340

► In this thesis we first develop a recursive relation for n-point functions for *Vertex* *Operator* Super *Algebras* (VOSAs) on a genus two Riemann surface constructed…
(more)

Subjects/Keywords: vertex operator algebras; Riemann surfaces; Zhu reduction; differential forms; Mathematics, Statistics and Applied Mathematics; Mathematics

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APA (6^{th} Edition):

Welby, M. (2019). Zhu reduction theory for vertex operator algebras on Riemann surfaces . (Thesis). National University of Ireland – Galway. Retrieved from http://hdl.handle.net/10379/15340

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Welby, Michael. “Zhu reduction theory for vertex operator algebras on Riemann surfaces .” 2019. Thesis, National University of Ireland – Galway. Accessed September 20, 2020. http://hdl.handle.net/10379/15340.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Welby, Michael. “Zhu reduction theory for vertex operator algebras on Riemann surfaces .” 2019. Web. 20 Sep 2020.

Vancouver:

Welby M. Zhu reduction theory for vertex operator algebras on Riemann surfaces . [Internet] [Thesis]. National University of Ireland – Galway; 2019. [cited 2020 Sep 20]. Available from: http://hdl.handle.net/10379/15340.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Welby M. Zhu reduction theory for vertex operator algebras on Riemann surfaces . [Thesis]. National University of Ireland – Galway; 2019. Available from: http://hdl.handle.net/10379/15340

Not specified: Masters Thesis or Doctoral Dissertation

North Carolina State University

13.
Cook, William Jeffrey.
Affine Lie *Algebras*, *Vertex* *Operator* *Algebras* and Combinatorial Identities.

Degree: PhD, Mathematics, 2005, North Carolina State University

URL: http://www.lib.ncsu.edu/resolver/1840.16/4972

► Affine Lie algebra representations have many connections with different areas of mathematics and physics. One such connection in mathematics is with number theory and in…
(more)

Subjects/Keywords: rogers-ramanujan combinartorial identities; affine lie algebras; vertex operator algebras

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APA (6^{th} Edition):

Cook, W. J. (2005). Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4972

Chicago Manual of Style (16^{th} Edition):

Cook, William Jeffrey. “Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.” 2005. Doctoral Dissertation, North Carolina State University. Accessed September 20, 2020. http://www.lib.ncsu.edu/resolver/1840.16/4972.

MLA Handbook (7^{th} Edition):

Cook, William Jeffrey. “Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.” 2005. Web. 20 Sep 2020.

Vancouver:

Cook WJ. Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities. [Internet] [Doctoral dissertation]. North Carolina State University; 2005. [cited 2020 Sep 20]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4972.

Council of Science Editors:

Cook WJ. Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities. [Doctoral Dissertation]. North Carolina State University; 2005. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4972

14. Jiao, Xiangyu. Quantum Dimensions And Quantum Galois Theory.

Degree: Mathematics, 2013, University of California – Santa Cruz

URL: http://www.escholarship.org/uc/item/57v7t4tg

► The quantum dimensions of modules for *vertex* *operator* *algebras* are defined and their properties are discussed systematically. The quantum dimensions of the Heisenberg *vertex* *operator*…
(more)

Subjects/Keywords: Mathematics; quantum dimension; quantum Galois theory; vertex operator algebras

…*vertex* *operator* *algebras* associated to the affine Kac-Moody *algebras* [FZ],
[DL… …trying to
understand the Galois theory for *vertex* *operator* *algebras* [DM1], [DLM1… …*vertex* *operator* *algebras* in general.
We propose two more definitions of quantum dimension… …and C2 -cofinite *vertex* *operator* *algebras*
3
have two main properties: (a) The… …associative *algebras*, the notion of global dimension for a *vertex* *operator*
algebra is proposed using…

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APA (6^{th} Edition):

Jiao, X. (2013). Quantum Dimensions And Quantum Galois Theory. (Thesis). University of California – Santa Cruz. Retrieved from http://www.escholarship.org/uc/item/57v7t4tg

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Jiao, Xiangyu. “Quantum Dimensions And Quantum Galois Theory.” 2013. Thesis, University of California – Santa Cruz. Accessed September 20, 2020. http://www.escholarship.org/uc/item/57v7t4tg.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Jiao, Xiangyu. “Quantum Dimensions And Quantum Galois Theory.” 2013. Web. 20 Sep 2020.

Vancouver:

Jiao X. Quantum Dimensions And Quantum Galois Theory. [Internet] [Thesis]. University of California – Santa Cruz; 2013. [cited 2020 Sep 20]. Available from: http://www.escholarship.org/uc/item/57v7t4tg.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Jiao X. Quantum Dimensions And Quantum Galois Theory. [Thesis]. University of California – Santa Cruz; 2013. Available from: http://www.escholarship.org/uc/item/57v7t4tg

Not specified: Masters Thesis or Doctoral Dissertation

15.
Yu, Nina.
Representations of *Vertex* *Operator* * Algebras*.

Degree: Mathematics, 2013, University of California – Santa Cruz

URL: http://www.escholarship.org/uc/item/7gg7v1zd

► In this thesis we study the representation theory of *vertex* *operator* *algebras*. The thesis consists of two parts. The first part deals with the connection…
(more)

Subjects/Keywords: Mathematics; Lie algebras; Modules; Non-associative algebras; Representations; Vertex operator algebras

…by studying rational *vertex* *operator* *algebras* with c = 1
2
and better understanding of… …automorphism group of lattice *vertex*
*operator* algebra VL2 .
In the theory of *vertex* *operator* *algebras*… …has been studied in [DM2]. The orbifold *vertex* *operator* *algebras*
+
VL
of rank one… …the quantum dimension are obtained for rational *vertex* *operator* *algebras*.
A criterion for… …examples of rational *vertex* *operator* *algebras*:
(1) Let L be an even lattice and VL be…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Yu, N. (2013). Representations of Vertex Operator Algebras. (Thesis). University of California – Santa Cruz. Retrieved from http://www.escholarship.org/uc/item/7gg7v1zd

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Yu, Nina. “Representations of Vertex Operator Algebras.” 2013. Thesis, University of California – Santa Cruz. Accessed September 20, 2020. http://www.escholarship.org/uc/item/7gg7v1zd.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Yu, Nina. “Representations of Vertex Operator Algebras.” 2013. Web. 20 Sep 2020.

Vancouver:

Yu N. Representations of Vertex Operator Algebras. [Internet] [Thesis]. University of California – Santa Cruz; 2013. [cited 2020 Sep 20]. Available from: http://www.escholarship.org/uc/item/7gg7v1zd.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yu N. Representations of Vertex Operator Algebras. [Thesis]. University of California – Santa Cruz; 2013. Available from: http://www.escholarship.org/uc/item/7gg7v1zd

Not specified: Masters Thesis or Doctoral Dissertation

16.
Krauel, Matthew.
*Vertex**Operator* *Algebras* and Jacobi Forms.

Degree: Mathematics, 2012, University of California – Santa Cruz

URL: http://www.escholarship.org/uc/item/1997s1w7

► This thesis develops a theory relating the Jacobi group with n-point functions associated with strongly regular *vertex* *operator* *algebras*. The n-point functions considered here have…
(more)

Subjects/Keywords: Mathematics; Theoretical mathematics; Theoretical physics; vertex operator algebras weak Jacobi forms

…Preliminaries
1
Chapter 1
Introduction
The theory of *vertex* *operator* *algebras* (VOAs) is… …Chapter 3.
The interest in strongly regular *vertex* *operator* *algebras* is a result of the… …11].
Beyond considering strongly regular *vertex* *operator* *algebras*, this thesis is… …particular importance in the theory of *vertex* *operator* *algebras* is the space
of (doubly… …14
Chapter 3
*Vertex* *Operator* *Algebras*
In this chapter we discuss the relevant…

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Krauel, M. (2012). Vertex Operator Algebras and Jacobi Forms. (Thesis). University of California – Santa Cruz. Retrieved from http://www.escholarship.org/uc/item/1997s1w7

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Krauel, Matthew. “Vertex Operator Algebras and Jacobi Forms.” 2012. Thesis, University of California – Santa Cruz. Accessed September 20, 2020. http://www.escholarship.org/uc/item/1997s1w7.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Krauel, Matthew. “Vertex Operator Algebras and Jacobi Forms.” 2012. Web. 20 Sep 2020.

Vancouver:

Krauel M. Vertex Operator Algebras and Jacobi Forms. [Internet] [Thesis]. University of California – Santa Cruz; 2012. [cited 2020 Sep 20]. Available from: http://www.escholarship.org/uc/item/1997s1w7.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Krauel M. Vertex Operator Algebras and Jacobi Forms. [Thesis]. University of California – Santa Cruz; 2012. Available from: http://www.escholarship.org/uc/item/1997s1w7

Not specified: Masters Thesis or Doctoral Dissertation