A Generalization of an Alternating Sum Formula for Finite Coxeter Groups
Group Theory
2007-05-23 v1 Combinatorics
Abstract
For W a finite Coxeter group, a formula is found for the size of W equivalence classes of subsets of a base. The proof is a case-by-case analysis using results and tables of Carter and Orlik/Solomon. As a corollary we obtain an alternating sum identity which generalizes a well-known identity from the theory of Coxeter groups.
Cite
@article{arxiv.math/9802016,
title = {A Generalization of an Alternating Sum Formula for Finite Coxeter Groups},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/9802016},
year = {2007}
}
Comments
6 pages