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Levi decomposition of nilpotent centralisers in classical groups

Lookup NU author(s): Dr David StewartORCiD

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Abstract

We check that the connected centralisers of nilpotent elements in theorthogonal and symplectic groups have Levi decompositions in evencharacteristic. This provides a justification for the identification ofthe isomorphism classes of the reductive quotients as stated in[Liebeck, Seitz; Unipotent and Nilpotent Classes in Simple AlgebraicGroups and Lie Algebras]

Publication metadata

Author(s): Babinski A, Stewart D

Publication type: Article

Publication status: Published

Journal: Journal of Pure and Applied Algebra

Year: 2018

Volume: 222

Issue: 8

Pages: 2001-2005

Print publication date: 01/08/2018

Online publication date: 09/08/2017

Acceptance date: 09/08/2017

Date deposited: 10/08/2017

ISSN (print): 0022-4049

Publisher: Elsevier

URL: https://doi.org/10.1016/j.jpaa.2017.08.016

DOI: 10.1016/j.jpaa.2017.08.016

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