A toral configuration space and regular semisimple conjugacy classes

DOI10.1017/S0305004100073497zbMath0839.20060MaRDI QIDQ4855320

Gustav Isaac Lehrer

Publication date: 10 June 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

cohomologyconfiguration spacesPoincaré seriesgraded modulesrepresentations of symmetric groupstopological spacesfinite linear groupsnumber of regular semisimple conjugacy classesspaces of orbits

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Homogeneous complex manifolds (32M10) Cohomology theory for linear algebraic groups (20G10) Étale and flat extensions; Henselization; Artin approximation (13B40)

Related Items

The actions of \(S_{n+1}\) and \(S_ n\) on the cohomology ring of a Coxeter arrangement of type \(A_{n-1}\), The number of regular semisimple conjugacy classes in the finite classical groups., Vanishing results for the cohomology of complex toric hyperplane complements, The cohomology of the regular semisimple variety, A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge., Squarefree polynomials over finite fields and regular semisimple classes of certain classical groups, Cohomology of complements of toric arrangements associated with root systems, Correction to: ``Cohomology of the toric arrangement associated with \(A_n\)

Cites Work

• Combinatorics and topology of complements of hyperplanes
• Rational tori, semisimple orbits and the topology of hyperplane complements
• Representations of reductive groups over finite fields
• The cohomology ring of the colored braid group
• Les immeubles des groupes de tresses généralises
• On the Poincaré Series Associated with Coxeter Group Actions on Complements of Hyperplanes
• The l Adic Cohomology of Hyperplane Complements