From conjugacy classes in the Weyl group to representations

2019/12/04 by G. Lusztig, Lusztig, George, Zhiwei Yun +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Geometry and complex manifolds #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1912.01754

openalex publication_date 2019/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a map from the set of conjugacy classes of a Weyl group W to the representation ring of W tensored with the ring of polynomials in one variable.

Cited by

• Traces on Iwahori-Hecke algebras and counting rational points
• From the Hecke Category to the Unipotent Locus

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