Frobenius Kernels of Algebraic Supergroups and Steinberg's Tensor Product Theorem 

Taiki Shibata

For a split quasireductive supergroup G defined over a field, we study structure and representation of Frobenius kernels Gr of G and we give a necessary and sufficient condition for Gr 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.

Algebras and Representation Theory

Algebras and Representation Theory

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https://link.springer.com/article/10.1007/s10468-023-10240-y

https://link.springer.com/article/10.1007/s10468-023-10240-y