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University of Oklahoma

1.
Wiebe, Jordan.
Arithmetic in *Quaternion* *Algebras* and Quaternionic Modular Forms.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/319651

► This dissertation has two parts. In the first part, we revisit the correspondence between spaces of modular forms and orders in *quaternion* *algebras* addressed first…
(more)

Subjects/Keywords: Number theory; Quaternion algebras; Orders in quaternion algebras; Modular forms

Record Details Similar Records

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

APA (6^{th} Edition):

Wiebe, J. (2019). Arithmetic in Quaternion Algebras and Quaternionic Modular Forms. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/319651

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

Wiebe, Jordan. “Arithmetic in Quaternion Algebras and Quaternionic Modular Forms.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 23, 2021. http://hdl.handle.net/11244/319651.

MLA Handbook (7^{th} Edition):

Wiebe, Jordan. “Arithmetic in Quaternion Algebras and Quaternionic Modular Forms.” 2019. Web. 23 Jan 2021.

Vancouver:

Wiebe J. Arithmetic in Quaternion Algebras and Quaternionic Modular Forms. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/11244/319651.

Council of Science Editors:

Wiebe J. Arithmetic in Quaternion Algebras and Quaternionic Modular Forms. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/319651

University of Waterloo

2.
Zi Yang, Sham.
*Quaternion**Algebras* and Quadratic Forms.

Degree: 2008, University of Waterloo

URL: http://hdl.handle.net/10012/3656

► The main goal of this Masters' thesis is to explore isomorphism types of *quaternion* *algebras* using the theory of quadratic forms, number theory and algebra.…
(more)

Subjects/Keywords: quadratic forms; quaternion algebras

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

APA (6^{th} Edition):

Zi Yang, S. (2008). Quaternion Algebras and Quadratic Forms. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/3656

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):

Zi Yang, Sham. “Quaternion Algebras and Quadratic Forms.” 2008. Thesis, University of Waterloo. Accessed January 23, 2021. http://hdl.handle.net/10012/3656.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Zi Yang, Sham. “Quaternion Algebras and Quadratic Forms.” 2008. Web. 23 Jan 2021.

Vancouver:

Zi Yang S. Quaternion Algebras and Quadratic Forms. [Internet] [Thesis]. University of Waterloo; 2008. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10012/3656.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zi Yang S. Quaternion Algebras and Quadratic Forms. [Thesis]. University of Waterloo; 2008. Available from: http://hdl.handle.net/10012/3656

Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia

3. Thompson, Katherine Elizabeth. Explicit representation results for quadratic forms over qq and qq(sqrt{5}) by analytic methods.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/30677

► In this thesis, we examine representation of positive integers by certain definite quaternary quadratic forms Q over ZZ and ZZ [(1+ sqrt{5})/2] by studying the…
(more)

Subjects/Keywords: Number theory; Quadratic forms; Modular forms; Quaternion algebras

Record Details Similar Records

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

APA (6^{th} Edition):

Thompson, K. E. (2014). Explicit representation results for quadratic forms over qq and qq(sqrt{5}) by analytic methods. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/30677

Not specified: Masters Thesis or Doctoral Dissertation

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

Thompson, Katherine Elizabeth. “Explicit representation results for quadratic forms over qq and qq(sqrt{5}) by analytic methods.” 2014. Thesis, University of Georgia. Accessed January 23, 2021. http://hdl.handle.net/10724/30677.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Thompson, Katherine Elizabeth. “Explicit representation results for quadratic forms over qq and qq(sqrt{5}) by analytic methods.” 2014. Web. 23 Jan 2021.

Vancouver:

Thompson KE. Explicit representation results for quadratic forms over qq and qq(sqrt{5}) by analytic methods. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10724/30677.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Thompson KE. Explicit representation results for quadratic forms over qq and qq(sqrt{5}) by analytic methods. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/30677

Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia

4. Stankewicz, James Henry. Twists of Shimura curves.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/28124

► In this thesis we determine conditions for local points on the twist of the Shimura curve X^D_0(N) by an Atkin-Lehner involution w_m and a quadratic…
(more)

Subjects/Keywords: Shimura curves; Modular curves; Rational points on varieties; Quaternion algebras; Elliptic Curves; Complex multiplication

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

APA (6^{th} Edition):

Stankewicz, J. H. (2014). Twists of Shimura curves. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/28124

Not specified: Masters Thesis or Doctoral Dissertation

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

Stankewicz, James Henry. “Twists of Shimura curves.” 2014. Thesis, University of Georgia. Accessed January 23, 2021. http://hdl.handle.net/10724/28124.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Stankewicz, James Henry. “Twists of Shimura curves.” 2014. Web. 23 Jan 2021.

Vancouver:

Stankewicz JH. Twists of Shimura curves. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10724/28124.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Stankewicz JH. Twists of Shimura curves. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/28124

Not specified: Masters Thesis or Doctoral Dissertation

5. Munhoz, Marcos. Tópicos de álgebras alternativas.

Degree: Mestrado, Matemática, 2007, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16052007-021736/ ;

►

São estudados alguns aspectos das álgebras alternativas, como o bar-radical de uma álgebra bárica alternativa e as identidades de grau 4 e 5 nas álgebras… (more)

Subjects/Keywords: álgebra de Cayley-Dickson; álgebra dos Quatérnios; Álgebras alternativas; álgebras báricas; alternative algebras; bar-radical; bar-radical; baric algebras; Cayley-Dickson algebras; decomposição de Peirce; identidades; identities; Peirce decomposition; Quaternion algebras

Record Details Similar Records

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

APA (6^{th} Edition):

Munhoz, M. (2007). Tópicos de álgebras alternativas. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16052007-021736/ ;

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

Munhoz, Marcos. “Tópicos de álgebras alternativas.” 2007. Masters Thesis, University of São Paulo. Accessed January 23, 2021. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16052007-021736/ ;.

MLA Handbook (7^{th} Edition):

Munhoz, Marcos. “Tópicos de álgebras alternativas.” 2007. Web. 23 Jan 2021.

Vancouver:

Munhoz M. Tópicos de álgebras alternativas. [Internet] [Masters thesis]. University of São Paulo; 2007. [cited 2021 Jan 23]. Available from: http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16052007-021736/ ;.

Council of Science Editors:

Munhoz M. Tópicos de álgebras alternativas. [Masters Thesis]. University of São Paulo; 2007. Available from: http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16052007-021736/ ;

6.
Chan, Kai-Cheong.
Digraph *Algebras* over Discrete Pre-ordered Groups.

Degree: 2013, University of Waterloo

URL: http://hdl.handle.net/10012/7290

► This thesis consists of studies in the separate fields of operator *algebras* and non-associative *algebras*. Two natural operator algebra structures, A ⊗_max B and A…
(more)

Subjects/Keywords: digraph algebra; dilation theory; tensor product; operator algebra; sedenions; Cayley-Dickson algebras; quaternion

…of Contents
1 Digraph *Algebras*
1
1.1
Introduction… …Definition of operator *algebras* . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.2.6… …Examples of operator *algebras* . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.2.7… …Tensor products of operator *algebras* . . . . . . . . . . . . . . . . . . . . . . . 15
1.3… …1.4
Digraph *algebras* A( P) for pre-ordered sets P…

Record Details Similar Records

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

APA (6^{th} Edition):

Chan, K. (2013). Digraph Algebras over Discrete Pre-ordered Groups. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/7290

Not specified: Masters Thesis or Doctoral Dissertation

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

Chan, Kai-Cheong. “Digraph Algebras over Discrete Pre-ordered Groups.” 2013. Thesis, University of Waterloo. Accessed January 23, 2021. http://hdl.handle.net/10012/7290.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Chan, Kai-Cheong. “Digraph Algebras over Discrete Pre-ordered Groups.” 2013. Web. 23 Jan 2021.

Vancouver:

Chan K. Digraph Algebras over Discrete Pre-ordered Groups. [Internet] [Thesis]. University of Waterloo; 2013. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10012/7290.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chan K. Digraph Algebras over Discrete Pre-ordered Groups. [Thesis]. University of Waterloo; 2013. Available from: http://hdl.handle.net/10012/7290

Not specified: Masters Thesis or Doctoral Dissertation

ETH Zürich

7.
Villa, Oliver.
On quadratic *quaternion* forms and triality.

Degree: 2002, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/145676

Subjects/Keywords: QUATERNIONENALGEBREN (ALGEBRA); BILINEARE UND QUADRATISCHE FORMEN (ALGEBRA); CLIFFORD-ALGEBREN (ALGEBRA); SPINORALGEBRA (DIFFERENTIALGEOMETRIE); QUATERNION ALGEBRAS (ALGEBRA); BILINEAR AND QUADRATIC FORMS (ALGEBRA); CLIFFORD ALGEBRAS (ALGEBRA); SPINOR ALGEBRA (DIFFERENTIAL GEOMETRY); info:eu-repo/classification/ddc/510; Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Villa, O. (2002). On quadratic quaternion forms and triality. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/145676

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

Villa, Oliver. “On quadratic quaternion forms and triality.” 2002. Doctoral Dissertation, ETH Zürich. Accessed January 23, 2021. http://hdl.handle.net/20.500.11850/145676.

MLA Handbook (7^{th} Edition):

Villa, Oliver. “On quadratic quaternion forms and triality.” 2002. Web. 23 Jan 2021.

Vancouver:

Villa O. On quadratic quaternion forms and triality. [Internet] [Doctoral dissertation]. ETH Zürich; 2002. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/20.500.11850/145676.

Council of Science Editors:

Villa O. On quadratic quaternion forms and triality. [Doctoral Dissertation]. ETH Zürich; 2002. Available from: http://hdl.handle.net/20.500.11850/145676