Cohomology of Artin groups
type: Item
instance of: scholarly article
title: Cohomology of Artin groups
zbMATH Open document ID: 0870.57004
author: Corrado De Concini
author: Mario Salvetti
published in: Mathematical Research Letters
publication date: 1996-09-24T00:00:00Z
review text: Let \(W,S\) be a Coxeter system realized as an irreducible reflection group in \(\mathbb{R}^n\). Denote by \(A=(H)\) the arrangement of reflection hyperplanes and by \(G_W\) the corresponding Artin group. The authors introduce some combinatorial complex \(X_W\) which is homotopically equivalent to the orbit space \((\mathbb{C}^n -\bigcup_{H \in A} \otimes \mathbb{C})/W\). They give an explicit formula for cohomologies of local systems on \(X_W\) associated with representations of \(G_W\).
Mathematics Subject Classification ID: 57M07
zbMATH DE Number: 913766
zbMATH Keywords: Coxeter system
zbMATH Keywords: arrangement
zbMATH Keywords: Artin group
reviewed by: A. N. Parshin
MaRDI profile type: Publication
DOI: 10.4310/MRL.1996.V3.N2.A13
description: scientific article; zbMATH DE number 913766