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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 040, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.040 (Mi sigma905) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mystic Reflection Groups

Yuri Bazlova, Arkady Berenshteinb

a School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK
b Department of Mathematics, University of Oregon, Eugene, OR 97403, USA
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DOI: https://doi.org/10.3842/SIGMA.2014.040
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.
Keywords: complex reflection; mystic reflection group; thick subgroups.
Received: December 25, 2013; in final form March 24, 2014; Published online April 4, 2014
Bibliographic databases:
Document Type: Article
MSC: 16G99; 20F55; 16S80
Language: English
Citation: Yuri Bazlov, Arkady Berenshtein, “Mystic Reflection Groups”, SIGMA, 10 (2014), 040, 11 pp.
Citation in format AMSBIB
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\paper Mystic Reflection Groups
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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