Generalized zeta function representation of groups and 2-dimensional topological Yang-Mills theory: The example of GL(2, 𝔽q) and PGL(2, 𝔽q)

DOI10.1063/1.4943294zbMath1362.81052arXiv1512.03811OpenAlexW3102588010MaRDI QIDQ2798665

Philippe Roche

Publication date: 13 April 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03811

zbMATH Keywords

2d Yang-Millsrepresentation theoretic Riemann zeta function

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (p)-adic representations of finite groups (20C11) Applications of group representations to physics and other areas of science (20C35)

Cites Work

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• Representation growth and rational singularities of the moduli space of local systems
• Multiple zeta values and zeta-functions of root systems
• Topological gauge theories and group cohomology
• The operator algebra of orbifold models
• On quantum gauge theories in two dimensions
• Legendre sums, Soto-Andrade sums and Kloosterman sums.
• Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks.
• Arithmetic harmonic analysis on character and quiver varieties. II
• Representation growth of linear groups
• The volume of the moduli space of flat connections on a nonorientable 2-manifold
• Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂
• Zeta functions of groups and rings – recent developments
• Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas
• Tensor products of irreducible representations of the groups gl(2,k) and sl(2,k) , k a finite field
• Zeta function of representations of compact 𝑝-adic analytic groups
• Quasi Hopf algebras, group cohomology and orbifold models

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