Cohomology of Coxeter groups and Artin groups

DOI10.4310/MRL.2000.v7.n2.a7zbMath0972.20030MaRDI QIDQ1580352

Corrado De Concini, Mario Salvetti

Publication date: 22 August 2001

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

arrangementsparabolic subgroupsSpecht modulesCoxeter groupscohomologyArtin groupsposetsfree resolutionsflagschambersSchwarz genus

Mathematics Subject Classification ID

Cohomology of groups (20J06) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (15)

A stability-like theorem for cohomology of pure braid groups of the series \(A\), \(B\) and \(D\). ⋮ Computing group resolutions. ⋮ The low-dimensional homology of finite-rank Coxeter groups ⋮ Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups ⋮ The Salvetti complex and the little cubes ⋮ The mod \(2\) cohomology of the infinite families of Coxeter groups of type \(B\) and \(D\) as almost-Hopf rings ⋮ A vanishing theorem for thep-local homology of Coxeter groups ⋮ The genus of the configuration spaces for Artin groups of affine type ⋮ \(K(\pi,1)\) conjecture for Artin groups. ⋮ Computing Bredon homology of groups ⋮ The homotopy type of toric arrangements ⋮ Convex equipartitions via equivariant obstruction theory ⋮ Transverse properties of parabolic subgroups of Garside groups ⋮ Space forms and group resolutions: the tetrahedral family ⋮ Cohomology of Coxeter groups.

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