Zelevinsky's involution at roots of unity
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 m(t) when t is a primitive nth root of 1. We show that the same map can also be interpreted in terms of aperiodic nilpotent orbits of /n-graded vector spaces.
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