Generalized Zeta function representation of groups and 2-dimensional Topological Yang-Mills theory: The example of GL(2, F_q) and PGL(2, F_q) - Laboratoire Charles Coulomb (L2C) Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Physics Année : 2016

Generalized Zeta function representation of groups and 2-dimensional Topological Yang-Mills theory: The example of GL(2, F_q) and PGL(2, F_q)

Résumé

We recall the relation between Zeta function representation of groups and two-dimensional topological Yang-Mills theory through Mednikh formula. We prove various generalisations of Mednikh formulas and define generalization of Zeta functions representations of groups. We compute some of these functions in the case of the finite group $GL(2, {\mathbb F}_q)$ and $PGL(2,{\mathbb F}_q).$ We recall the table characters of these groups for any $q$, compute the Frobenius-Schur indicator of their irreducible representations and give the explicit structure of their fusion rings

Dates et versions

hal-01250756 , version 1 (05-01-2016)

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Philippe Roche. Generalized Zeta function representation of groups and 2-dimensional Topological Yang-Mills theory: The example of GL(2, F_q) and PGL(2, F_q). Journal of Mathematical Physics, 2016, 57 (3), pp.Article number 031701. ⟨10.1063/1.4943294⟩. ⟨hal-01250756⟩
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