3 papers
math.QA2026
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…
math.GT2026
Volume Conjecture and quantum hyperbolic invariants: the figure eight knot complement
Stephane Baseilhac, Fathi Ben Aribi
We compute the real part of the semi-classical limit of the sequence of quantum hyperbolic invariants (QHI) of the figure-eight knot complement . We show that it is rigid, in th…
math.QA2025
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…