Generalized exponents of small representations. I

2009/04/16 by Bogdan Ion, Ion, Bogdan
Mathematics · #17B10 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.CO #math.RT #msc:17B10

paper · pdf · doi:10.48550/arxiv.0904.2483

30 pg

arxiv created 2009/04/16 · openalex publication_date 2009/04/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the first paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. The main part of this paper illustrates the overall structure of the argument on root systems of type A and discusses the relationship with the Lascoux-Schutzenberger charge formula.

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