Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414575 | Journal of Algebra | 2015 | 20 Pages |
Abstract
In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded component of its Orlik-Solomon algebra as a sum of characters induced from linear characters of centralizers of elements of W for groups of rank seven and eight. For classical Coxeter groups, these characters are given using a formula that is expected to hold in all ranks.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marcus Bishop, J. Matthew Douglass, Götz Pfeiffer, Gerhard Röhrle,