On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weights
Abstract
Description
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.
8 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
8 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