On the quiver of the descent algebra

2007/08/30 by Franco Saliola, Saliola, Franco V. · 2 citations
Mathematics · #05E99 (Primary) #20F55 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0708.4213

openalex publication_date 2007/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the quiver of the descent algebra of a finite Coxeter group W. The results include a derivation of the quiver of the descent algebra of types A and B. Our approach is to study the descent algebra as an algebra constructed from the reflection arrangement associated to W.

Cited by

• Left regular bands with symmetry
• The Loewy length of the descent algebra of type D

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