Unipotent classes in the classical groups parameterized by subgroups

2003/09/27 by William Duckworth, Duckworth, W. Ethan
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.math/0309447

openalex publication_date 2003/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper describes how to use subgroups to parameterize unipotent classes in the classical algebraic group in characteristic 2. These results can be viewed as an extension of the Bala-Carter Theorem, and give a convenient way to compare unipotent classes in a group G with unipotent classes of a subgroup X where G is exceptional and X is a Levi subgroup of classical type.

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