Unipotent classes in the classical groups parameterized by subgroups

Details Unipotent classes in the classical groups parameterized by subgroups Unipotent classes in the classical groups parameterized by subgroups

2003-09-27

arxiv.org/abs/math/0309447v2

Mathematics

Group Theory

14 pages. Minor changes and rewriting compared to version 1

Scientific paper

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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