%0 Journal Article
%T Zelevinsky's involution at roots of unity
%A B. Leclerc
%A J. -Y. Thibon
%A E. Vasserot
%J Mathematics
%D 1998
%I arXiv
%X We give a combinatorial algorithm for computing Zelevinsky's involution of the set of isomorphism classes of irreducible representations of the affine Hecke algebra $\H_m(t)$ when $t$ is a primitive $n$th root of 1. We show that the same map can also be interpreted in terms of aperiodic nilpotent orbits of $\Zb/n\Zb$-graded vector spaces.
%U http://arxiv.org/abs/math/9806060v1