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arXiv · 2001.08238

A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups

Joel Brewster Lewis
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Abstract

We show that the Hurwitz action is "as transitive as possible" on reflection factorizations of Coxeter elements in the well-generated complex reflection groups $G(d, 1, n)$ (the group of $d$-colored permutations) and $G(d, d, n)$.

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Joel Brewster Lewis. 2020-05-29. A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups. https://doi.org/10.37236/9351

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