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Factorization problems in complex reflection groups

Published in arXiv (Cornell University) • Jun 27, 2019
NobleIDNI6P48W62R19S74
Authors:
Joel Brewster Lewis
,
Alejandro H. Morales

Abstract

We enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In the infinite families of generalized permutations, our approach is fully combinatorial. It gives results analogous to th...

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