Poincaré polynomials for unitary reflection groups
type: Item
instance of: scholarly article
title: Poincaré polynomials for unitary reflection groups
zbMATH Open document ID: 0831.20049
DOI: 10.1007/BF01241136
published in: Inventiones Mathematicae
publication date: 1995-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/144282
review text: The author gives a general formula for the trace of a linear transformation \(g\) on the cohomology of the hyperplane complement of a reflection group \(G\) which it normalises. Its main application is an explicit formula for the Poincaré series of \(g\) in the case where \(g\) has an eigenspace which contains a \(G\)-regular vector.
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 784009
zbMATH Keywords: cohomology of hyperplane complement
zbMATH Keywords: trace
zbMATH Keywords: linear transformation
zbMATH Keywords: reflection group
zbMATH Keywords: Poincaré series
zbMATH Keywords: eigenspace
author: Gus I. Lehrer
reviewed by: Chiu Sen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 784009