On the quiver of the descent algebra
Representation Theory
2008-07-09 v2 Combinatorics
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.
Cite
@article{arxiv.0708.4213,
title = {On the quiver of the descent algebra},
author = {Franco V. Saliola},
journal= {arXiv preprint arXiv:0708.4213},
year = {2008}
}
Comments
31 pages, LaTeX; major revision; to appear in Journal of Algebra