3 papers
math.RT2026
Classification of irreducible real modules of real Lie superalgebras
Siddhartha Sahi, Hadi Salmasian, Vera Serganova
We classify irreducible finite-dimensional modules of a collection of real Lie superalgebras that includes the simple ones, their classical variants, complex Lie superalgebras afte…
math.RA2025
Almost inner derivations of Lie superalgebras
Vera Serganova, Arkady Vaintrob
An almost inner derivation of a Lie algebra is a derivation that coincides with an inner derivation on each one-dimensional subspace of . The almost inner derivations form a…
math.RT2025
Towards the Green correspondence for supergroups
Inna Entova-Aizenbud, Vera Serganova, Alex Sherman
We prove a version of the Green correspondence for complex algebraic supergroups, constructing a correspondence between certain indecomposable representations of G and the normaliz…