Overgroups of regular unipotent elements in reductive groups

نویسندگان

چکیده

We study reductive subgroups $H$ of a linear algebraic group $G$ -- possibly non-connected such that contains regular unipotent element $G$. show under suitable hypotheses, are $G$-irreducible in the sense Serre. This generalizes results Malle, Testerman and Zalesski. obtain analogous for Lie algebras finite groups type. Our proofs short, conceptual uniform.

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ژورنال

عنوان ژورنال: Forum of Mathematics, Sigma

سال: 2022

ISSN: ['2050-5094']

DOI: https://doi.org/10.1017/fms.2021.82