4 papers · 1 filter
Semisimplifying categorical Heisenberg actions and periodic equivalences
Chris Hone, Finn Klein, Bregje Pauwels +3
We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…
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…
A remarkable functor on -modules
Joe Baine, Tasman Fell, Anna Romanov +2
We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sen…
Sylow theorems for supergroups
Vera Serganova, Alexander Sherman, Dmitry Vaintrob
We introduce Sylow subgroups and -groups to the theory of complex algebraic supergroups, which mimic Sylow subgroups and -groups in the theory of finite groups. We prove that…