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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58948The 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 senseRepresentation Theory20G05On an asymptotic behavior of elements of order p in irreducible representations of the classical algebraic groups with large enough highest weightstext