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University of Oklahoma

1. Roy, Manami. ELLIPTIC CURVES AND PARAMODULAR FORMS.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/321046

► There is a lifting from a non-CM elliptic curve E/ℚ to a cuspidal paramodular newform f of degree 2 and weight 3 given by the…
(more)

Subjects/Keywords: elliptic curves; paramodular forms; symmetric cube lifting

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APA (6^{th} Edition):

Roy, M. (2019). ELLIPTIC CURVES AND PARAMODULAR FORMS. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/321046

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

Roy, Manami. “ELLIPTIC CURVES AND PARAMODULAR FORMS.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/321046.

MLA Handbook (7^{th} Edition):

Roy, Manami. “ELLIPTIC CURVES AND PARAMODULAR FORMS.” 2019. Web. 24 Jan 2021.

Vancouver:

Roy M. ELLIPTIC CURVES AND PARAMODULAR FORMS. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/321046.

Council of Science Editors:

Roy M. ELLIPTIC CURVES AND PARAMODULAR FORMS. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/321046

University of Oklahoma

2. Wagh, Siddhesh. MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/321131

► Muto, Narita and Pitale construct counterexamples to the Generalized Ramanujan Conjecture for GL(2,B) over the division quaternion algebra B with discriminant two via a lift…
(more)

Subjects/Keywords: Number Theory; Automorphic forms; Representation Theory; Maass forms

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APA (6^{th} Edition):

Wagh, S. (2019). MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/321131

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

Wagh, Siddhesh. “MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/321131.

MLA Handbook (7^{th} Edition):

Wagh, Siddhesh. “MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA.” 2019. Web. 24 Jan 2021.

Vancouver:

Wagh S. MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/321131.

Council of Science Editors:

Wagh S. MAASS SPACE FOR LIFTING TO GL(2,B) OVER A DIVISION QUATERNION ALGEBRA. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/321131

University of Oklahoma

3. VerNooy, Colin. K-types and Invariants for the Representations of GSp(4,R).

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/321122

► Automorphic representations of the adelic group GSp (4 ,A Q ) are of importance in their relation to Siegel modular forms of degree 2. Given…
(more)

Subjects/Keywords: representation theory; GSp(4); sympleptic group

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APA (6^{th} Edition):

VerNooy, C. (2019). K-types and Invariants for the Representations of GSp(4,R). (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/321122

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

VerNooy, Colin. “K-types and Invariants for the Representations of GSp(4,R).” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/321122.

MLA Handbook (7^{th} Edition):

VerNooy, Colin. “K-types and Invariants for the Representations of GSp(4,R).” 2019. Web. 24 Jan 2021.

Vancouver:

VerNooy C. K-types and Invariants for the Representations of GSp(4,R). [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/321122.

Council of Science Editors:

VerNooy C. K-types and Invariants for the Representations of GSp(4,R). [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/321122

University of Oklahoma

4. Yi, Shaoyun. Klingen vectors of level 2 for GSp(4).

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/319553

► The theory of Siegel modular forms generalizes classical elliptic modular forms which is, in fact, the degree one case. Dimension formulas for spaces of elliptic…
(more)

Subjects/Keywords: Mathematics.

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APA (6^{th} Edition):

Yi, S. (2019). Klingen vectors of level 2 for GSp(4). (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/319553

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

Yi, Shaoyun. “Klingen vectors of level 2 for GSp(4).” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/319553.

MLA Handbook (7^{th} Edition):

Yi, Shaoyun. “Klingen vectors of level 2 for GSp(4).” 2019. Web. 24 Jan 2021.

Vancouver:

Yi S. Klingen vectors of level 2 for GSp(4). [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/319553.

Council of Science Editors:

Yi S. Klingen vectors of level 2 for GSp(4). [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/319553

University of Oklahoma

5. Tran, Long. Zeta Integrals of GSp(4) via Bessel Models.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/319673

► Using the Piatetski-Shapiro theory of zeta integrals via Bessel models, we explicitly calculate L-factors of irreducible admissible representations of GSp(4, F), where F is a…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Tran, L. (2019). Zeta Integrals of GSp(4) via Bessel Models. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/319673

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

Tran, Long. “Zeta Integrals of GSp(4) via Bessel Models.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/319673.

MLA Handbook (7^{th} Edition):

Tran, Long. “Zeta Integrals of GSp(4) via Bessel Models.” 2019. Web. 24 Jan 2021.

Vancouver:

Tran L. Zeta Integrals of GSp(4) via Bessel Models. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/319673.

Council of Science Editors:

Tran L. Zeta Integrals of GSp(4) via Bessel Models. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/319673

University of Oklahoma

6. 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

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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 24, 2021. http://hdl.handle.net/11244/319651.

MLA Handbook (7^{th} Edition):

Wiebe, Jordan. “Arithmetic in Quaternion Algebras and Quaternionic Modular Forms.” 2019. Web. 24 Jan 2021.

Vancouver:

Wiebe J. Arithmetic in Quaternion Algebras and Quaternionic Modular Forms. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. 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 Oklahoma

7. Edwards, Craig. THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/319674

► Even though the problem of counting points with integer coordinates on a (rational) polytope has connections to sophisticated mathematical topics like Algebraic K-Theory, Fourier-Dedekind Sums,…
(more)

Subjects/Keywords: Combinatorics

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APA (6^{th} Edition):

Edwards, C. (2019). THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/319674

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

Edwards, Craig. “THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/319674.

MLA Handbook (7^{th} Edition):

Edwards, Craig. “THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS.” 2019. Web. 24 Jan 2021.

Vancouver:

Edwards C. THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/319674.

Council of Science Editors:

Edwards C. THE ENUMERATION PROBLEM ON NUMERICAL MONOIDS. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/319674

University of Oklahoma

8. Soroko, Ignat. Dehn functions of subgroups of right-angled Artin groups.

Degree: PhD, 2018, University of Oklahoma

URL: http://hdl.handle.net/11244/299687

► The question of what is a possible range for the Dehn functions (a.k.a. isoperimetric spectrum) for certain classes of groups is a natural and interesting…
(more)

Subjects/Keywords: Dehn functions; right-angled Artin groups; special cube complexes; free-by-cyclic groups

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APA (6^{th} Edition):

Soroko, I. (2018). Dehn functions of subgroups of right-angled Artin groups. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/299687

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

Soroko, Ignat. “Dehn functions of subgroups of right-angled Artin groups.” 2018. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/299687.

MLA Handbook (7^{th} Edition):

Soroko, Ignat. “Dehn functions of subgroups of right-angled Artin groups.” 2018. Web. 24 Jan 2021.

Vancouver:

Soroko I. Dehn functions of subgroups of right-angled Artin groups. [Internet] [Doctoral dissertation]. University of Oklahoma; 2018. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/299687.

Council of Science Editors:

Soroko I. Dehn functions of subgroups of right-angled Artin groups. [Doctoral Dissertation]. University of Oklahoma; 2018. Available from: http://hdl.handle.net/11244/299687

University of Oklahoma

9. Shukla, Alok. On Klingen Eisenstein series with levels.

Degree: PhD, 2018, University of Oklahoma

URL: http://hdl.handle.net/11244/299326

► We give a representation theoretic approach to the Klingen lift generalizing the classical construction of Klingen Eisenstein series to arbitrary level for both paramodular and…
(more)

Subjects/Keywords: Mathematics; Automorphic Representation; Klingen Eisenstein Series with levels; Paramodular; Co-dimension formula for cusp forms

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APA (6^{th} Edition):

Shukla, A. (2018). On Klingen Eisenstein series with levels. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/299326

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

Shukla, Alok. “On Klingen Eisenstein series with levels.” 2018. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/299326.

MLA Handbook (7^{th} Edition):

Shukla, Alok. “On Klingen Eisenstein series with levels.” 2018. Web. 24 Jan 2021.

Vancouver:

Shukla A. On Klingen Eisenstein series with levels. [Internet] [Doctoral dissertation]. University of Oklahoma; 2018. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/299326.

Council of Science Editors:

Shukla A. On Klingen Eisenstein series with levels. [Doctoral Dissertation]. University of Oklahoma; 2018. Available from: http://hdl.handle.net/11244/299326

University of Oklahoma

10. Brown, Gordon. Webs for Type Q Lie Superalgebras.

Degree: PhD, 2017, University of Oklahoma

URL: http://hdl.handle.net/11244/52409

► In the first part of this dissertation, we construct a monoidal supercategory whose morphism spaces are spanned by equivalence classes of diagrams called oriented type…
(more)

Subjects/Keywords: Mathematics.

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APA (6^{th} Edition):

Brown, G. (2017). Webs for Type Q Lie Superalgebras. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/52409

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

Brown, Gordon. “Webs for Type Q Lie Superalgebras.” 2017. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/52409.

MLA Handbook (7^{th} Edition):

Brown, Gordon. “Webs for Type Q Lie Superalgebras.” 2017. Web. 24 Jan 2021.

Vancouver:

Brown G. Webs for Type Q Lie Superalgebras. [Internet] [Doctoral dissertation]. University of Oklahoma; 2017. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/52409.

Council of Science Editors:

Brown G. Webs for Type Q Lie Superalgebras. [Doctoral Dissertation]. University of Oklahoma; 2017. Available from: http://hdl.handle.net/11244/52409

University of Oklahoma

11. Turki, Salam. The representations of p-adic fields associated to elliptic curves.

Degree: PhD, 2015, University of Oklahoma

URL: http://hdl.handle.net/11244/15500

► The goal of this dissertation is to find the irreducible, admissible representation of GL(2; F) attached to an elliptic curve E over a p-adic field…
(more)

Subjects/Keywords: Elliptic curves; representation theorey; p-adic fields

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APA (6^{th} Edition):

Turki, S. (2015). The representations of p-adic fields associated to elliptic curves. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/15500

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

Turki, Salam. “The representations of p-adic fields associated to elliptic curves.” 2015. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/15500.

MLA Handbook (7^{th} Edition):

Turki, Salam. “The representations of p-adic fields associated to elliptic curves.” 2015. Web. 24 Jan 2021.

Vancouver:

Turki S. The representations of p-adic fields associated to elliptic curves. [Internet] [Doctoral dissertation]. University of Oklahoma; 2015. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/15500.

Council of Science Editors:

Turki S. The representations of p-adic fields associated to elliptic curves. [Doctoral Dissertation]. University of Oklahoma; 2015. Available from: http://hdl.handle.net/11244/15500

University of Oklahoma

12. Madsen, Thomas Laebel. Some Types And Covers For Quaternionic Hermitian Groups.

Degree: PhD, 2014, University of Oklahoma

URL: http://hdl.handle.net/11244/10447

► In this dissertation we determine the reducibility of certain induced representations. We do this using Bushnell and Kutzko's method of types and covers. We consider…
(more)

Subjects/Keywords: Mathematics.

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APA (6^{th} Edition):

Madsen, T. L. (2014). Some Types And Covers For Quaternionic Hermitian Groups. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/10447

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

Madsen, Thomas Laebel. “Some Types And Covers For Quaternionic Hermitian Groups.” 2014. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/10447.

MLA Handbook (7^{th} Edition):

Madsen, Thomas Laebel. “Some Types And Covers For Quaternionic Hermitian Groups.” 2014. Web. 24 Jan 2021.

Vancouver:

Madsen TL. Some Types And Covers For Quaternionic Hermitian Groups. [Internet] [Doctoral dissertation]. University of Oklahoma; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/10447.

Council of Science Editors:

Madsen TL. Some Types And Covers For Quaternionic Hermitian Groups. [Doctoral Dissertation]. University of Oklahoma; 2014. Available from: http://hdl.handle.net/11244/10447

University of Oklahoma

13. Lee, Misun. Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students.

Degree: PhD, 2014, University of Oklahoma

URL: http://hdl.handle.net/11244/10371

► Teaching and learning calculus has been the subject of mathematics education research for many years. Although the literature is mainly concerned with students’ difficulties with…
(more)

Subjects/Keywords: Mathematics.

Record Details Similar Records

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APA (6^{th} Edition):

Lee, M. (2014). Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/10371

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

Lee, Misun. “Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students.” 2014. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/10371.

MLA Handbook (7^{th} Edition):

Lee, Misun. “Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students.” 2014. Web. 24 Jan 2021.

Vancouver:

Lee M. Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students. [Internet] [Doctoral dissertation]. University of Oklahoma; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/10371.

Council of Science Editors:

Lee M. Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students. [Doctoral Dissertation]. University of Oklahoma; 2014. Available from: http://hdl.handle.net/11244/10371

University of Oklahoma

14. Zhuang, Jincheng. Studies on Deep Holes and Discrete Logarithms.

Degree: PhD, 2014, University of Oklahoma

URL: http://hdl.handle.net/11244/10331

► Error-correcting codes and cryptography are two important areas related to information communication. Generalized Reed-Solomon codes and cryptosystems based on the discrete logarithm problem are important…
(more)

Subjects/Keywords: Computer Science.

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APA (6^{th} Edition):

Zhuang, J. (2014). Studies on Deep Holes and Discrete Logarithms. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/10331

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

Zhuang, Jincheng. “Studies on Deep Holes and Discrete Logarithms.” 2014. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/10331.

MLA Handbook (7^{th} Edition):

Zhuang, Jincheng. “Studies on Deep Holes and Discrete Logarithms.” 2014. Web. 24 Jan 2021.

Vancouver:

Zhuang J. Studies on Deep Holes and Discrete Logarithms. [Internet] [Doctoral dissertation]. University of Oklahoma; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/10331.

Council of Science Editors:

Zhuang J. Studies on Deep Holes and Discrete Logarithms. [Doctoral Dissertation]. University of Oklahoma; 2014. Available from: http://hdl.handle.net/11244/10331

University of Oklahoma

15. El Turkey, Houssein. Complexity of Modules over Lie Superalgebras.

Degree: PhD, 2014, University of Oklahoma

URL: http://hdl.handle.net/11244/10449

► In this dissertation, a fair amount of work is dedicated to computing the complexity of modules over a classical Lie superalgebra \fg=\fg_{\0}⊕ \fg_{\1} over the…
(more)

Subjects/Keywords: Mathematics.

Record Details Similar Records

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APA (6^{th} Edition):

El Turkey, H. (2014). Complexity of Modules over Lie Superalgebras. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/10449

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

El Turkey, Houssein. “Complexity of Modules over Lie Superalgebras.” 2014. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/10449.

MLA Handbook (7^{th} Edition):

El Turkey, Houssein. “Complexity of Modules over Lie Superalgebras.” 2014. Web. 24 Jan 2021.

Vancouver:

El Turkey H. Complexity of Modules over Lie Superalgebras. [Internet] [Doctoral dissertation]. University of Oklahoma; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/10449.

Council of Science Editors:

El Turkey H. Complexity of Modules over Lie Superalgebras. [Doctoral Dissertation]. University of Oklahoma; 2014. Available from: http://hdl.handle.net/11244/10449

University of Oklahoma

16. Maddox, Julia Louise. Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras.

Degree: PhD, 2012, University of Oklahoma

URL: http://hdl.handle.net/11244/318625

► First, we develop a result using multilinear algebra to prove, in an elementary way, a useful identity between representations of \mathfrak{sp}(4, ℂ), which involves writing…
(more)

Subjects/Keywords: Tensor algebra; Lie algebras; Combinatorial analysis; Multilinear algebra

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APA (6^{th} Edition):

Maddox, J. L. (2012). Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/318625

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

Maddox, Julia Louise. “Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras.” 2012. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/318625.

MLA Handbook (7^{th} Edition):

Maddox, Julia Louise. “Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras.” 2012. Web. 24 Jan 2021.

Vancouver:

Maddox JL. Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras. [Internet] [Doctoral dissertation]. University of Oklahoma; 2012. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/318625.

Council of Science Editors:

Maddox JL. Symmetric Tensors and Combinatorics for Finite-Dimensional Representations of Symplectic Lie Algebras. [Doctoral Dissertation]. University of Oklahoma; 2012. Available from: http://hdl.handle.net/11244/318625

University of Oklahoma

17. Hall, Catherine Ann. Invariant vectors and level raising operators in representations of the p-adic group GL(3).

Degree: PhD, 2012, University of Oklahoma

URL: http://hdl.handle.net/11244/318856

In the generic case, the proof uses Whittaker functions, zeta integrals, Hecke operators and Satake parameters. For the non-generic case, it is shown that unramified characters of F play a role and the matrix of each level raising operator is used.
*Advisors/Committee Members: Schmidt, Ralf (advisor).*

Subjects/Keywords: Vector spaces; p-adic groups; p-adic analysis; Lie groups

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APA (6^{th} Edition):

Hall, C. A. (2012). Invariant vectors and level raising operators in representations of the p-adic group GL(3). (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/318856

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

Hall, Catherine Ann. “Invariant vectors and level raising operators in representations of the p-adic group GL(3).” 2012. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/318856.

MLA Handbook (7^{th} Edition):

Hall, Catherine Ann. “Invariant vectors and level raising operators in representations of the p-adic group GL(3).” 2012. Web. 24 Jan 2021.

Vancouver:

Hall CA. Invariant vectors and level raising operators in representations of the p-adic group GL(3). [Internet] [Doctoral dissertation]. University of Oklahoma; 2012. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/318856.

Council of Science Editors:

Hall CA. Invariant vectors and level raising operators in representations of the p-adic group GL(3). [Doctoral Dissertation]. University of Oklahoma; 2012. Available from: http://hdl.handle.net/11244/318856

University of Oklahoma

18. Breeding II, Jeffery Edward. Irreducible non-cuspidal characters of GSp(4,Fq).

Degree: PhD, 2011, University of Oklahoma

URL: http://hdl.handle.net/11244/319020

► Admissible non – supercuspidal representations of GSp(4,F), where F is a local field of characteristic zero with an odd-ordered residue field Fq, have finite dimensional spaces…
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Subjects/Keywords: Number theory; Linear algebraic groups

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APA (6^{th} Edition):

Breeding II, J. E. (2011). Irreducible non-cuspidal characters of GSp(4,Fq). (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/319020

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

Breeding II, Jeffery Edward. “Irreducible non-cuspidal characters of GSp(4,Fq).” 2011. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/319020.

MLA Handbook (7^{th} Edition):

Breeding II, Jeffery Edward. “Irreducible non-cuspidal characters of GSp(4,Fq).” 2011. Web. 24 Jan 2021.

Vancouver:

Breeding II JE. Irreducible non-cuspidal characters of GSp(4,Fq). [Internet] [Doctoral dissertation]. University of Oklahoma; 2011. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/319020.

Council of Science Editors:

Breeding II JE. Irreducible non-cuspidal characters of GSp(4,Fq). [Doctoral Dissertation]. University of Oklahoma; 2011. Available from: http://hdl.handle.net/11244/319020