Representations of algebraic groups containing matrices with large Jordan blocks
ID Suprunenko - European Journal of Combinatorics, 1994 - Elsevier
European Journal of Combinatorics, 1994•Elsevier
For a classical algebraic group G of rank n, irreducible rational representations ϕ the images
of which contain matrices with at least one Jordan block of size at least dim ϕ/n are
determined provided that the characteristic of a ground field is not equal to 2 if G is not of
type A n. For arbitrary simple algebraic groups the question is reduced to infinitesimally
irreducible representations.
of which contain matrices with at least one Jordan block of size at least dim ϕ/n are
determined provided that the characteristic of a ground field is not equal to 2 if G is not of
type A n. For arbitrary simple algebraic groups the question is reduced to infinitesimally
irreducible representations.
Abstract
For a classical algebraic group G of rank n, irreducible rational representations ϕ the images of which contain matrices with at least one Jordan block of size at least dim ϕ/n are determined provided that the characteristic of a ground field is not equal to 2 if G is not of type An. For arbitrary simple algebraic groups the question is reduced to infinitesimally irreducible representations.
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