6 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…
Deformations of mixed associators in module categories
Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert +1
We set up a cochain complex whose cohomology controls deformations of the mixed associator of a module category over a …
Braided categories of bimodules from stated skein TQFTs
Francesco Costantino, Matthieu Faitg
For each braided category we show that, under mild hypotheses, there is an associated category of "half braided algebras" and their bimodules internal to $\mathcal{C}…
Derived representations of quantum character varieties
Matthieu Faitg
Quantum moduli algebras were introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche in the context of quantization of character varieties…
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…
An adjunction theorem for Davydov-Yetter cohomology and infinitesimal braidings
Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert
Davydov-Yetter cohomology is associated to a monoidal functor between -linear monoidal categories where $\Bbb…