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Levi decomposition of nilpotent centralisers in classical groups (1611.00937v1)
Published 3 Nov 2016 in math.GR and math.RT
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].