From classes in the Weyl group to strata

Published 18 Aug 2024 in math.RT | (2408.09584v3)

Abstract: In a 2015 paper we have defined a map from the set of conjugacy classes in a Weyl group W to the set of irreducible representations of W (its image parametrizes the strata of a reductive group with Weyl group W). In this paper we provide evidence that this map makes sense even when W is replaced by a noncrystallographic Coxeter group.

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G. Lusztig

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Conjecture 3.3: Definition and characterization of σ via Ψ for Weyl groups

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