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arXiv · 1611.00937

Levi decomposition of nilpotent centralisers in classical groups

Alex P. Babinski·David I. Stewart
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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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Alex P. Babinski, David I. Stewart. 2016-11-03. Levi decomposition of nilpotent centralisers in classical groups. https://arxiv.org/abs/1611.00937

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