Component groups of unipotent centralizers in good characteristic

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dc.creatorMcNinch, George J.
dc.creatorSommers, Eric
dc.date2002-04-23
dc.date2002-08-13
dc.date.accessioned2026-07-07T04:48:01Z
dc.date.available2026-07-07T04:48:01Z
dc.descriptionLet G be a connected, reductive group over an algebraically closed field of good characteristic. For u in G unipotent, we describe the conjugacy classes in the component group A(u) of the centralizer of u. Our results extend work of the second author done for simple, adjoint G over the complex numbers. When G is simple and adjoint, the previous work of the second author makes our description combinatorial and explicit; moreover, it turns out that knowledge of the conjugacy classes suffices to determine the group structure of A(u). Thus we obtain the result, previously known through case-checking, that the structure of the component group A(u) is independent of good characteristic.
dc.description13 pages; AMS LaTeX. This is the final version; it will appear in the Steinberg birthday volume of the Journal of Algebra. This version corrects an oversight pointed out by the referee; see Prop 23
dc.identifierhttps://arxiv.org/abs/math/0204275
dc.identifierhttp://arxiv.org/abs/math/0204275
dc.identifierJournal of Algebra 260 (2003) 323-337
dc.identifierdoi:10.1016/S0021-8693(02)00661-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63888
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20Gxx; 20G05
dc.titleComponent groups of unipotent centralizers in good characteristic
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