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arXiv · 1312.6930

Mystic Reflection Groups

Yuri Bazlov·Arkady Berenstein
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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 $G(m,p,n)$. We also prove that the group algebras of corresponding groups are isomorphic and classify all such groups up to isomorphism.

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Yuri Bazlov, Arkady Berenstein. 2014-04-04. Mystic Reflection Groups. https://doi.org/10.3842/sigma.2014.040

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