56 citations · 329 across the 50 of their papers we have counts for
6 papers · 2 filters
Localization theorem for homological vector fields
Vera Serganova, Alexander Sherman
We present a general theorem which computes the cohomology of a homological vector field on global sections of vector bundles over smooth affine supervarieties. The hypotheses and…
Root groupoid and related Lie superalgebras
Maria Gorelik, Vladimir Hinich, Vera Serganova
We introduce a notion of a root groupoid as a replacement of the notion of Weyl group for (Kac-Moody) Lie superalgebras. The objects of the root groupoid classify certain root data…
On the Grothendieck ring of a quasireductive Lie superalgebra
Maria Gorelik, Vera Serganova, Alexander Sherman
Given a Lie superalgebra and a maximal quasitoral subalgebra , we consider properties of restrictions of -modules to . This…
Splitting quasireductive supergroups and volumes of supergrassmannians
Vera Serganova, Alexander Sherman
We introduce the notion of splitting subgroups of quasireducitve supergroups, and explain their significance. For , , and defect one basic classical supergroups, we…
Bounded weight modules for basic classical Lie superalgebras at infinity
Dimitar Grantcharov, Ivan Penkov, Vera Serganova
We classify simple bounded weight modules over the complex simple Lie superalgebras and , when at least one of and …
The Duflo-Serganova functor, vingt ans après
Maria Gorelik, Crystal Hoyt, Vera Serganova +1
We review old and new results concerning the functor and associated varieties for Lie superalgebras. These notions were introduced in the unpublished manuscript arXiv:math/050…