Mystic reflection groups

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This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), 127-158] 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.

Bibliographical metadata

Original languageEnglish
Article number040
JournalSymmetry, Integrability and Geometry: Methods and Applications
Publication statusPublished - 4 Apr 2014

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