Levi decomposition of nilpotent centralisers in classical groups
Group Theory
2016-11-04 v1 Representation Theory
Abstract
We check that the connected centralisers of nilpotent elements in the orthogonal and symplectic groups have Levi decompositions in even characteristic. This provides a justification for the identification of the isomorphism classes of the reductive quotients as stated in [Liebeck, Seitz; Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras].
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Cite
@article{arxiv.1611.00937,
title = {Levi decomposition of nilpotent centralisers in classical groups},
author = {Alex P. Babinski and David I. Stewart},
journal= {arXiv preprint arXiv:1611.00937},
year = {2016}
}
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4 pages