A New Descent Algebra of Weyl Groups of Type An

2014/04/18 by Tülay Yağmur, Tulay Yagmur, Yagmur, Tulay +2
Mathematics · #20F55 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.AC #math.RT #msc:20F55

paper · pdf · doi:10.48550/arxiv.1404.4750

10 pages

arxiv created 2014/04/18 · openalex publication_date 2014/04/18 · arxiv updated 2014/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we define an equivalence relation on the set of all x_J in order to form a basis for a new descent algebra of Weyl groups of type A_n. By means of this, we construct a new commutative and semi-simple descent algebra of Weyl groups of type A_n generated by equivalence classes arising from this equivalence relation.

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