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Almost special representations of Weyl groups

Published 7 May 2024 in math.RT | (2405.04410v1)

Abstract: Let $c$ be the family of irreducible representations of a Weyl group $W$ corresponding to a two-sided cell of $W$. We define a subset $A_c$ of $c$ which contains the special representation of $W$ in $c$ and is in canonical bijection with the set of constructible representations of $W$ attached to $c$.

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