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Zelevinsky's involution at roots of unity

B. Leclerc·J. -Y. Thibon·E. Vasserot
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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 $t$ 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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BibTeXRIS

B. Leclerc, J. -Y. Thibon, E. Vasserot. 1998-06-11. Zelevinsky's involution at roots of unity. https://arxiv.org/abs/math/9806060

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