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Extensions of Yang-Baxter sets by Bardakov, Valeriy G.; Talalaev, Dmitry V. is a scholarly article available to read on EtoBox.

What is Extensions of Yang-Baxter sets about?

The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for the Yang-Baxter equation on the product of B and C if given B and C correspond to two linear (set-theoretic) solutions of the Yang-Baxter equation. One of the key observation is the relation of this question with the virtual pure braid group.

Author

Bardakov, Valeriy G.; Talalaev, Dmitry V.

Published

2022

Language

EN