Homology representations of unitary reflection groups
Representation Theory
2013-04-03 v2
Abstract
This paper continues the study of the poset of eigenspaces of elements of a unitary reflection group (for a fixed eigenvalue), which was commenced in [6] and [5]. The emphasis in this paper is on the representation theory of unitary reflection groups. The main tool is the theory of poset extensions due to Segev and Webb ([16]). The new results place the well-known representations of unitary reflection groups on the top homology of the lattice of intersections of hyperplanes into a natural family, parameterised by eigenvalue.
Cite
@article{arxiv.1303.5155,
title = {Homology representations of unitary reflection groups},
author = {Justin Koonin},
journal= {arXiv preprint arXiv:1303.5155},
year = {2013}
}
Comments
10 pages