On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights

dc.creatorSuprunenko, I. D.
dc.date2000-03-30
dc.date2002-05-15
dc.date.accessioned2026-07-07T04:34:33Z
dc.date.available2026-07-07T04:34:33Z
dc.descriptionThe behavior of the images of a fixed element of order p in irreducible representations of a classical algebraic group in odd characteristic p with highest weights large enough with respect to p and this element is investigated. Lower estimates for the number of Jordan blocks of size p in images of such elements that lie in naturally embedded subgroups of the same type as the initial group and smaller ranks are obtained.
dc.description8 pages, LaTeX2e. See also http://im.bas-net.by/~suprunenko/papers Revision. An inaccuracy in the estimate for groups of type B is corrected. The result has not changed in an asymptotical sense
dc.identifierhttps://arxiv.org/abs/math/0003223
dc.identifierhttp://arxiv.org/abs/math/0003223
dc.identifierProc. Amer. Math. Soc. 129 (2001) 2581-2589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58948
dc.subjectRepresentation Theory
dc.subject20G05
dc.titleOn an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights
dc.typetext

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