56 citations · 329 across the 50 of their papers we have counts for
4 papers · 1 filter
Deligne categories and the limit of categories
Inna Entova-Aizenbud, Vladimir Hinich, Vera Serganova
For each integer a tensor category is constructed, such that exact tensor functors classify dualizable -dimensional objects in not annihila…
Twisted generalized Weyl algebras and primitive quotients of enveloping algebras
Jonas T. Hartwig, Vera Serganova
To each multiquiver we attach a solution to the consistency equations associated to twisted generalized Weyl (TGW) algebras. This generalizes several previously obtained soluti…
On the Tits-Kantor-Koecher construction of unital Jordan bimodules
Iryna Kashuba, Vera Serganova
In this paper we explore relationship between representations of a Jordan algebra $\J$ and the Lie algebra $\g$ obtained from $\J$ by the Tits-Kantor-Koecher construction. More pre…
Homological invariants in category O for the general linear superalgebra
Kevin Coulembier, Vera Serganova
We study three related homological properties of modules in the BGG category O for basic classical Lie superalgebras, with specific focus on the general linear superalgebra. These…