Электронная библиотека (репозиторий) Томского государственного университета

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Add   Multi-switches and representations of braid groups
Authors: Bardakov, Valeriy G. | Nasybullov, Timur
Source: Journal of algebra and its applications. 2024. Vol. 23, № 3. P. 2430003-1-2430003-22
Type: статьи в журналах
Date: 2024
Description: 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 representatio ... More
Add   General constructions of biquandles and their symmetries
Authors: Bardakov, Valeriy | Nasybullov, Timur | Singh, Mahender
Source: Journal of pure and applied algebra. 2022. Vol. 226, № 7. P. 106936 (1-40)
Type: статьи в журналах
Date: 2022
Description: Biquandles are algebraic objects with two binary operations whose axioms encode the generalized Reidemeister moves for virtual knots and links. These objects also provide set theoretic solutions of th ... More
Add   Virtual and universal braid groups, their quotients and representations
Authors: Bardakov, Valeriy | Emelyanenkov, Ivan | Ivanov, Maxim | Kozlovskaya, Tatyana A. | Nasybullov, Timur | Vesnin, Andrei Yu.
Source: Journal of Group Theory. 2022. Vol. 25, № 4. P. 679-712
Type: статьи в журналах
Date: 2022
Description: In the present paper, we study structural aspects of certain quotients of braid groups and virtual braid groups. In particular, we construct and study linear representations, which are connectedwith t ... More
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