Cohomology of Coxeter groups and Artin groups

Authors
De Concini, C Salvetti, M
Citation
C. De Concini et M. Salvetti, Cohomology of Coxeter groups and Artin groups, MATH RES LE, 7(2-3), 2000, pp. 213-232
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
7
Issue
2-3
Year of publication
2000
Pages
213 - 232
Database
ISI
SICI code
1073-2780(200003/05)7:2-3<213:COCGAA>2.0.ZU;2-J
Abstract
Given a finite Coxeter system (W, S), we exhibit an explicit "small" resolu tion of the trivial Z[W]-module. This is obtained by an explicit combinator ial construction of k(W, 1), which is described as a CW-complex with cells corresponding to flags in S. Some applications are given.