Normal Reflection Subgroups

Autor: Arreche, Carlos E., Williams, Nathan
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Databáze: arXiv