Multi-switches and representations of braid groups

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...

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Bibliographic Details
Published in:Journal of algebra and its applications Vol. 23, № 3. P. 2430003-1-2430003-22
Main Author: Bardakov, Valeriy G.
Other Authors: Nasybullov, Timur
Format: Article
Language:English
Subjects:
Online Access:https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001157007
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Summary: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.
Bibliography:Библиогр.: 25 назв.
ISSN:0219-4988