Cells and Constructible Representations in type B

2007/10/20 by Thomas Pietraho, Pietraho, Thomas
Mathematics · #05E10 #20C08 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0710.3846

openalex publication_date 2007/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine the partition of a finite Coxeter group of type B into cells determined by a weight function L. The main objective of these notes is to reconcile Lusztig's description of constructible representations in this setting with conjectured combinatorial descriptions of cells.

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