Properties of the Solomon homomorphism
Representation Theory
2007-05-23 v1
Abstract
Let W be a finite Coxeter group. In this paper, we show that the properties of the Solomon algebra homomorphism Phi (from the Solomom descent algebra to the algebra of class functions) are strongly related to enumerative results: certain joint statistics on W may be enumerated by the scalar products of appropriate characters.
Keywords
Cite
@article{arxiv.math/0302309,
title = {Properties of the Solomon homomorphism},
author = {Christophe Hohlweg},
journal= {arXiv preprint arXiv:math/0302309},
year = {2007}
}
Comments
33 pages