74 citations · 311 across the 20 of their papers we have counts for
20 papers
On the structure and representations of quantum graph algebras at roots of unity
Stéphane Baseilhac, Matthieu Faitg, Philippe Roche
We study the specializations at roots of unity of odd order of the graph algebras, associated to a simply-connected complex semi-simple algebraic group $G…
Noetherian and affine properties of quantum moduli and -skein algebras
Stéphane Baseilhac, Matthieu Faitg, Philippe Roche
We prove that the quantum moduli algebra associated to a possibly punctured compact oriented surface and a complex semisimple Lie algebra is a Noetherian and finitel…
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1
Stéphane Baseilhac, Philippe Roche
We prove that the quantum graph algebra and the quantum moduli algebra associated to a punctured sphere and complex semisimple Lie algebra are Noetherian rings and f…
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres
Stéphane Baseilhac, Philippe Roche
Let be a finite type surface, and a complex algebraic simple Lie group with Lie algebra . The quantum moduli algebra of is a quantization of the ring…
Evaluation of characters of smooth representations of : I. Strongly primitive representations of even level
Philippe Roche
Let be a local field, let be its integer ring and a uniformizer of its maximal ideal. To an irreducible complex finite dimensional smooth representation…
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)
Philippe Roche
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…