2 papers
math.RT2024
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…
math.RT2023
It takes two spectral sequences
Inna Entova-Aizenbud, Vera Serganova, Alexander Sherman
We study the representation theory of the Lie superalgebra , constructing two spectral sequences which eventually annihilate precisely the superdimension zero i…