4 papers · 1 filter
Balanced and neat elements in quasi-reductive Lie superalgebras
Inna Entova-Aizenbud, Vera Serganova
Let be a quasi-reductive supergroup (so its underlying algebraic group is reductive). We consider two trivially intersecting classes of odd elements: neat elements…
Jacobson-Morozov Lemma for Algebraic Supergroups
Inna Entova-Aizenbud, Vera Serganova
Given a quasi-reductive algebraic supergroup , we use the theory of semisimplifications of symmetric monoidal categories to define a symmetric monoidal functor $Φ_x: Rep(G) \to…
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…
Deligne-Knop tensor categories and functoriality
Inna Entova-Aizenbud, Thorsten Heidersdorf
A general construction of Knop creates a symmetric monoidal category from any regular category and a fixed degree function . A speci…