Double centralizers of unipotent elements in simple algebraic groups of type G(2), F-4 and E-6

Iulian Ion Simion
Academic Press Inc Elsevier Science, 2013
Journal paper

Abstract

Let u be a unipotent element of a simple algebraic group G over a field k of characteristic p. We develop a method for computing the connected component of Z(C-G(u)) in the cases where p is positive and both it and the rank of G are small enough. The method is then carried out for G of type G(2), F-4 and E-6 in bad characteristic. (C) 2013 Elsevier Inc. All rights reserved.

Official source

https://infoscience.epfl.ch/record/186455?ln=en

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Related concepts

Related publications

Let

u

be a unipotent element of a simple algebraic group

G

over a field

k

of characteristic

p

. We develop a method for computing the connected component of

Z(C_G(u))

in the cases where

p

is positive and both it and the rank of

G

are small enough. The method is then carried out for

G

of type

G_2

F_4

and

E_6

in bad characteristic.

2013

Double centralizers of unipotent elements in simple algebraic groups of type G(2), F-4 and E-6

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Double centralizers of unipotent elements in simple algebraic groups of type $E_7$ and $E_8$