Zelevinsky's involution at roots of unity

Details Zelevinsky's involution at roots of unity Zelevinsky's involution at roots of unity

1998-06-11

arxiv.org/abs/math/9806060v1

Mathematics

Quantum Algebra

17 pages, Latex, epsf macros

Scientific paper

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.

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