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arXiv · 2510.21499

Positivity for certain Weyl group representations

G. Lusztig
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Abstract

Let W be a Weyl group. We can define the notion of positivity of a W-module in terms of the corresponding module over the asymptotic Iwahori-Hecke algebra. We state a conjecture which says that certain explicit W-modules are positive and we prove it in the case where W is of classical type.

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BibTeXRIS

G. Lusztig. 2025-10-24. Positivity for certain Weyl group representations. https://arxiv.org/abs/2510.21499

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