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Multi-switches and representations of braid groups. / Bardakov, Valeriy; Nasybullov, Timur.

In: Journal of Algebra and its Applications, Vol. 23, No. 3, 2430003, 01.03.2024.

Research output: Contribution to journal › Review article › peer-review

Harvard

Bardakov, V & Nasybullov, T 2024, 'Multi-switches and representations of braid groups', Journal of Algebra and its Applications, vol. 23, no. 3, 2430003. https://doi.org/10.1142/S0219498824300034

APA

Bardakov, V., & Nasybullov, T. (2024). Multi-switches and representations of braid groups. Journal of Algebra and its Applications, 23(3), [2430003]. https://doi.org/10.1142/S0219498824300034

Vancouver

Bardakov V, Nasybullov T. Multi-switches and representations of braid groups. Journal of Algebra and its Applications. 2024 Mar 1;23(3):2430003. doi: 10.1142/S0219498824300034

Author

Bardakov, Valeriy ; Nasybullov, Timur. / Multi-switches and representations of braid groups. In: Journal of Algebra and its Applications. 2024 ; Vol. 23, No. 3.

BibTeX

@article{45d23a5d53f64af5b6b1edefa20c8625,
title = "Multi-switches and representations of braid groups",
abstract = "We introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach of how to construct representations of (virtual) braid groups by automorphisms of algebraic systems. As a corollary we introduce new representations of virtual braid groups which generalize several previously known representations.",
keywords = "Braid group, linear representation, quandle, representation by automorphisms, virtual braid group",
author = "Valeriy Bardakov and Timur Nasybullov",
note = "The authors thank Professor Kauffman for useful discussions. The results are supported by the grant of the Russian Science Foundation (project 19-41-02005). Publisher Copyright: {\textcopyright} 2024 World Scientific Publishing Company.",
year = "2024",
month = mar,
day = "1",
doi = "10.1142/S0219498824300034",
language = "English",
volume = "23",
journal = "Journal of Algebra and its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - Multi-switches and representations of braid groups

AU - Bardakov, Valeriy

AU - Nasybullov, Timur

N1 - The authors thank Professor Kauffman for useful discussions. The results are supported by the grant of the Russian Science Foundation (project 19-41-02005). Publisher Copyright: © 2024 World Scientific Publishing Company.

PY - 2024/3/1

Y1 - 2024/3/1

N2 - We introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach of how to construct representations of (virtual) braid groups by automorphisms of algebraic systems. As a corollary we introduce new representations of virtual braid groups which generalize several previously known representations.

AB - We introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach of how to construct representations of (virtual) braid groups by automorphisms of algebraic systems. As a corollary we introduce new representations of virtual braid groups which generalize several previously known representations.

KW - Braid group

KW - linear representation

KW - quandle

KW - representation by automorphisms

KW - virtual braid group

UR - http://www.scopus.com/inward/record.url?scp=85143864656&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b2700a62-4276-3b64-9825-5df2959b31ec/

U2 - 10.1142/S0219498824300034

DO - 10.1142/S0219498824300034

M3 - Review article

AN - SCOPUS:85143864656

VL - 23

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

SN - 0219-4988

IS - 3

M1 - 2430003

ER -

ID: 40867695