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arXiv · 2205.00800

A construction of pseudo-reductive groups with non-reduced root system

Michael Bate·Gerhard Röhrle·Damian Sercombe·David I. Stewart
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Abstract

We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules.

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Michael Bate, Gerhard Röhrle, Damian Sercombe, David I. Stewart. 2022-05-02. A construction of pseudo-reductive groups with non-reduced root system. https://arxiv.org/abs/2205.00800

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