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

I. D. Suprunenko
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Abstract

The 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.

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BibTeXRIS

I. D. Suprunenko. 2002-05-15. On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights. https://arxiv.org/abs/math/0003223

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