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You searched for +publisher:"North Carolina State University" +contributor:("Kailash C. Misra, Committee Chair"). One record found.

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North Carolina State University

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

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

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 particular combinatorial identities. In this thesis, we study affine Lie algebra representation theory and obtain new families of combinatorial identities of Rogers-Ramanujan type. It is well known that when ilde[g] is an untwisted affine Lie algebra and k is a positive integer, the integrable highest weight ilde[g]-module L(k Lambda0) has the structure of a vertex operator algebra. Using this structure, we will obtain recurrence relations for the characters of all integrable highest-weight modules of ilde[g]. In the case when ilde[g] is of (ADE)-type and k=1, we solve the recurrence relations and obtain the full characters of the adjoint module L(Lambda0). Then, taking the principal specialization, we obtain new families of multisum identities of Rogers-Ramanujan type. Advisors/Committee Members: Haisheng Li, Committee Co-Chair (advisor), Bojko Bakalov, Committee Member (advisor), Jon Doyle, Committee Member (advisor), Kailash C. Misra, Committee Chair (advisor).

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

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

APA (6th 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 (16th Edition):

Cook, William Jeffrey. “Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.” 2005. Doctoral Dissertation, North Carolina State University. Accessed September 21, 2020. http://www.lib.ncsu.edu/resolver/1840.16/4972.

MLA Handbook (7th Edition):

Cook, William Jeffrey. “Affine Lie Algebras, Vertex Operator Algebras and Combinatorial Identities.” 2005. Web. 21 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 21]. 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

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