Skip to Main content Skip to Navigation
Conference papers

The module of affine descents

Abstract : The goal of this paper is to introduce an algebraic structure on the space spanned by affine descent classes of a Weyl group, by analogy and in relation to the structure carried by ordinary descent classes. The latter classes span a subalgebra of the group algebra, Solomon's descent algebra. We show that the former span a left module over this algebra. The structure is obtained from geometric considerations involving hyperplane arrangements. We provide a combinatorial model for the case of the symmetric group.
Document type :
Conference papers
Complete list of metadata
Contributor : Alain Monteil Connect in order to contact the contributor
Submitted on : Tuesday, November 17, 2015 - 10:20:24 AM
Last modification on : Thursday, July 4, 2019 - 2:10:03 PM
Long-term archiving on: : Thursday, February 18, 2016 - 11:42:44 AM


Publisher files allowed on an open archive


  • HAL Id : hal-01229711, version 1



Marcelo Aguiar, Kile T. Petersen. The module of affine descents. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.277-288. ⟨hal-01229711⟩



Record views


Files downloads