Mystic reflection groupsCitation formats

Standard

Mystic reflection groups. / Bazlov, Yuri; Berenstein, Arkady.

In: Symmetry, Integrability and Geometry: Methods and Applications , Vol. 10, 040, 04.04.2014.

Research output: Contribution to journalArticlepeer-review

Harvard

Bazlov, Y & Berenstein, A 2014, 'Mystic reflection groups', Symmetry, Integrability and Geometry: Methods and Applications , vol. 10, 040. https://doi.org/10.3842/SIGMA.2014.040

APA

Bazlov, Y., & Berenstein, A. (2014). Mystic reflection groups. Symmetry, Integrability and Geometry: Methods and Applications , 10, [040]. https://doi.org/10.3842/SIGMA.2014.040

Vancouver

Bazlov Y, Berenstein A. Mystic reflection groups. Symmetry, Integrability and Geometry: Methods and Applications . 2014 Apr 4;10. 040. https://doi.org/10.3842/SIGMA.2014.040

Author

Bazlov, Yuri ; Berenstein, Arkady. / Mystic reflection groups. In: Symmetry, Integrability and Geometry: Methods and Applications . 2014 ; Vol. 10.

Bibtex

@article{b5bb7734a3ff4b288827906c66e541b6,
title = "Mystic reflection groups",
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",
author = "Yuri Bazlov and Arkady Berenstein",
year = "2014",
month = apr,
day = "4",
doi = "10.3842/SIGMA.2014.040",
language = "English",
volume = "10",
journal = "Symmetry, Integrability and Geometry: Methods and Applications ",
issn = "1815-0659",
publisher = "Natsional'na Akademiya Nauk Ukrainy, Instytut Matematyky",

}

RIS

TY - JOUR

T1 - Mystic reflection groups

AU - Bazlov, Yuri

AU - Berenstein, Arkady

PY - 2014/4/4

Y1 - 2014/4/4

N2 - 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.

AB - 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.

KW - Complex reflection

KW - Mystic reflection group

KW - Thick subgroups

U2 - 10.3842/SIGMA.2014.040

DO - 10.3842/SIGMA.2014.040

M3 - Article

VL - 10

JO - Symmetry, Integrability and Geometry: Methods and Applications

JF - Symmetry, Integrability and Geometry: Methods and Applications

SN - 1815-0659

M1 - 040

ER -