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arXiv · 2206.06000

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

Taiki Shibata
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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.

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Taiki Shibata. 2022-06-13. Frobenius kernels of algebraic supergroups and Steinberg's tensor product theorem. https://doi.org/10.1007/s10468-023-10240-y

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