Normal Reflection Subgroups of Complex Reflection Groups
Combinatorics
2025-03-21 v1 Representation Theory
Abstract
We study normal reflection subgroups of complex reflection groups. Our approach 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.2007.09778,
title = {Normal Reflection Subgroups of Complex Reflection Groups},
author = {Carlos E. Arreche and Nathan F. Williams},
journal= {arXiv preprint arXiv:2007.09778},
year = {2025}
}