Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem

Abstract

For a split quasireductive supergroup $G$ defined over a field, we study structure and representation of Frobenius kernels $G_r$ of $G$ and we give a necessary and sufficient condition for $G_r$ to be unimodular in terms of the root system of $G$. We also establish Steinberg's tensor product theorem for $G$ under some natural assumptions.

Made very minor changes and corrections; final version to appear in Alg. Rep. Th

References in corpus (1)

• A new proof of the Mullineux conjecture

Cited by in corpus (1)

• The Steinberg Tensor Product Theorem for General Linear Group Schemes in the Verlinde Category