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

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

2000-03-30

arxiv.org/abs/math/0003223v2

Proc. Amer. Math. Soc. 129 (2001) 2581-2589

Mathematics

Representation Theory

8 pages, LaTeX2e. See also http://im.bas-net.by/~suprunenko/papers Revision. An inaccuracy in the estimate for groups of type

Scientific paper

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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