Zelevinsky's involution at roots of unity
Quantum Algebra
2007-05-23 v1
Abstract
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 is a primitive th root of 1. We show that the same map can also be interpreted in terms of aperiodic nilpotent orbits of -graded vector spaces.
Cite
@article{arxiv.math/9806060,
title = {Zelevinsky's involution at roots of unity},
author = {B. Leclerc and J. -Y. Thibon and E. Vasserot},
journal= {arXiv preprint arXiv:math/9806060},
year = {2007}
}
Comments
17 pages, Latex, epsf macros