Mystic reflection groups

Yuri Bazlov, Arkady Berenstein

    Research output: Contribution to journalArticlepeer-review


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


    • Complex reflection
    • Mystic reflection group
    • Thick subgroups


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