49 citations · 159 across the 23 of their papers we have counts for
9 papers · 1 filter
Cosimplicial monoids and deformation theory of tensor categories
Michael Batanin, Alexei Davydov
We introduce a notion of -commutativity () for cosimplicial monoids in a symmetric monoidal category , where corresponds to just cosimplicial mo…
Third Cohomology and Fusion Categories
Alexei Davydov, Darren Simmons
It was observed recently that for a fixed finite group , the set of all Drinfeld centres of twisted by 3-cocycles form a group, the so-called group of modular extensions (of…
Bogomolov multiplier, double class-preserving automorphisms and modular invariants for orbifolds
A. Davydov
We describe the group of braided tensor autoequivalences of the Drinfeld centre of a finite group isomorphic to the identity functor (just as a functor) as a semi-direct produc…
An alternative description of braided monoidal categories
Alexei Davydov, Ingo Runkel
We give an alternative presentation of braided monoidal categories. Instead of the usual associativity and braiding we have just one constraint (the b-structure). In the unital cas…
Commutative Algebras in Fibonacci Categories
Alexei Davydov, Tom Booker
By studying NIM-representations we show that the Fibonacci category and its tensor powers are completely anisotropic; that is, they do not have any non-trivial separable commutativ…
Commutative algebras in Drinfeld categories of abelian Lie algebras
Alexei Davydov, Vyacheslav Futorny
We describe (braided-)commutative algebras with non-degenerate multiplicative form in certain braided monoidal categories, corresponding to abelian metric Lie algebras (so-called D…