Topology of eigenspace posets for unitary reflection groups
Combinatorics
2013-04-03 v2 Algebraic Topology
Group Theory
Representation Theory
Abstract
The eigenspace theory of unitary reflection groups, initiated by Springer and Lehrer, suggests that the following object is worthy of study: the poset of eigenspaces of elements of a unitary reflection group, for a fixed eigenvalue, ordered by the reverse of inclusion. We investigate topological properties of this poset. The new results extend the well-known work of Orlik and Solomon on the lattice of intersections of hyperplanes.
Cite
@article{arxiv.1208.1799,
title = {Topology of eigenspace posets for unitary reflection groups},
author = {Justin Koonin},
journal= {arXiv preprint arXiv:1208.1799},
year = {2013}
}
Comments
21 pages