Positive conjugacy classes in Weyl groups

2018/05/10 by G. Lusztig, Lusztig, G. · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1805.03772

openalex publication_date 2018/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let W be a Weyl group. We introduce the notion of positive conjugacy class in W. This generalizes the notion of regular elliptic conjugacy class in the sense of Springer.

Cited by

• Open problems on Iwahori-Hecke algebras

Related

• Distinguished conjugacy classes and elliptic Weyl group elements
• From conjugacy classes in the Weyl group to semisimple conjugacy classes
• From unipotent classes to conjugacy classes in the Weyl group
• On conjugacy classes in the Lie group E₈
• From conjugacy classes in the Weyl group to representations