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math.QA2024
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…
math.RT2024
Generalized electrical Lie algebras
Arkady Berenstein, Azat Gainutdinov, Vassily Gorbounov
We generalize the electrical Lie algebras originally introduced by Lam and Pylyavskyy in several ways. To each Kac-Moody Lie algebra we associate two types (vertex t…