Contents Online
Mathematical Research Letters
Volume 7 (2000)
Number 2
Cohomology of Coxeter groups and Artin groups
Pages: 213 – 232
DOI: https://dx.doi.org/10.4310/MRL.2000.v7.n2.a7
Authors
Abstract
Given a finite Coxeter system $(\W, S )$, we exhibit an explicit “small” resolution of the trivial $\Bbb Z[\W]$-module. This is obtained by an explicit combinatorial construction of $k(\W ,1)$, which is described as a CW-complex with cells corresponding to {\it flags} in $S$. Some applications are given.
Published 1 January 2000