Hurwitz action on tuples of Euclidean reflections
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
We show that if a tuple of Euclidean reflections has a finite orbit under the Hurwitz action of the Artin braid group, then the group generated by these reflections is finite. Humphries has published a similar statement but his proof is irremediably flawed. At the same time as correcting his proof, our proof is much simpler that Dubrovin and Mazocco's proof for triples of reflections.
Keywords
Cite
@article{arxiv.math/0410313,
title = {Hurwitz action on tuples of Euclidean reflections},
author = {Jean Michel},
journal= {arXiv preprint arXiv:math/0410313},
year = {2007}
}
Comments
redige le 1-9-2004