Tau Signatures and Characters of Weyl Groups

2018/10/12 by Thomas Folz-Donahue, Folz-Donahue, Thomas, Steven Glenn Jackson +5
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1810.05556

openalex publication_date 2018/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G_{\mathbb R} be the set of real points of a complex linear reductive group and G_λ its classes of irreducible admissible representations with infinitesimal integral regular character λ. In this case each cell of representations is associated to a special nilpotent orbit. This helps organize the corresponding set of irreducible Harish-Chandra modules. The goal of this paper is to is to describe algorithms for identifying the special nilpotent orbit attached to a cell in terms of descent sets appearing in the cell.

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