90 citations · 865 across the 43 of their papers we have counts for
4 papers · 1 filter
Cellular Algebra of webs
Azat M. Gainutdinov, Jesper Lykke Jacobsen, Yueheng Li
We introduce a diagram algebra based on Kuperberg's -webs and prove a Schur--Weyl duality $\mathcal{K}_L \cong \operatorname{End}_{U_q(\mathfrak{sl}_3)}((V^+ \…
Crossed-module crossed braided categories
Azat M. Gainutdinov, Ingo Runkel, Bangxin Wang
For a crossed module , we introduce the notion of -crossed braided (resp. ribbon) categories, where the categories are graded by group and carry an -action. O…
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 …
Fully exact and fully dualizable module categories
Azat M. Gainutdinov, Robert Laugwitz
We define fully exact module categories, a subclass of exact module categories over a finite braided tensor category that is stable under the relative Deligne product. In contrast,…