Mystic reflection groups

Yuri Bazlov; Arkady Berenstein

doi:10.3842/SIGMA.2014.040

Mystic reflection groups

Yuri Bazlov
, Arkady Berenstein

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	040
Journal	Symmetry, Integrability and Geometry: Methods and Applications
Volume	10
DOIs	https://doi.org/10.3842/SIGMA.2014.040
Publication status	Published - 4 Apr 2014

Keywords

Complex reflection
Mystic reflection group
Thick subgroups

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10.3842/SIGMA.2014.040

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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] 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.",

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KW - Thick subgroups

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Mystic reflection groups

Abstract

Keywords

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