Normal Reflection Subgroups
Combinatorics
2020-06-12 v1 Representation Theory
Abstract
We study normal reflection subgroups of complex reflection groups. Our point of view leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalized exponents. Our refinement gives a uniform proof and generalization of a recent theorem of the second author.
Cite
@article{arxiv.2006.06575,
title = {Normal Reflection Subgroups},
author = {Carlos E. Arreche and Nathan Williams},
journal= {arXiv preprint arXiv:2006.06575},
year = {2020}
}
Comments
10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)