5 citations · 22 across the 11 of their papers we have counts for
12 papers
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 …
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…
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…
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…
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…
Davydov-Yetter cohomology and relative homological algebra
Matthieu Faitg, Azat M. Gainutdinov, Christoph Schweigert
Davydov--Yetter (DY) cohomology classifies infinitesimal deformations of the monoidal structure of tensor functors and tensor categories. In this paper we provide new tools for the…
Holonomy and (stated) skein algebras in combinatorial quantization
Matthieu Faitg
The algebra was introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche and quantizes the character variety of the Riemann surface $Σ_{g,n}\!\setminus\!…
Mapping class groups, skein algebras and combinatorial quantization
Matthieu Faitg
The algebras have been introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche in the middle of the 1990's, in the program of combinatorial quantization…
Projective representations of mapping class groups in combinatorial quantization
Matthieu Faitg
Let be a compact oriented surface of genus with open disks removed. The graph algebra was introduced by Alekseev--Grosse--Schomerus and Buf…
Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras
Matthieu Faitg
Let be a compact oriented surface of genus with open disks removed. The algebra was introduced by Alekseev-Grosse-Schomerus and Buffenoir-R…
A note on symmetric linear forms and traces on the restricted quantum group
Matthieu Faitg
We prove two results about , the algebra of symmetric linear forms on the restricted quantum group . First, we express…