Mystic Reflection Groups
Representation Theory
2014-04-07 v2 Quantum Algebra
Abstract
This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372, arXiv:0806.0867] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), 127-158, arXiv:0806.3210] by Kirkman, Kuzmanovich and Zhang. A detailed analysis of this class of groups reveals that they are in a nontrivial correspondence with the complex reflection groups . We also prove that the group algebras of corresponding groups are isomorphic and classify all such groups up to isomorphism.
Cite
@article{arxiv.1312.6930,
title = {Mystic Reflection Groups},
author = {Yuri Bazlov and Arkady Berenstein},
journal= {arXiv preprint arXiv:1312.6930},
year = {2014}
}