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arXiv:2006.06575 [math.CO]AbstractReferencesReviewsResources

Normal Reflection Subgroups

Carlos E. Arreche, Nathan Williams

Published 2020-06-11Version 1

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.

Comments: 10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Categories: math.CO, math.RT
Subjects: 20F55, 05E10
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