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arXiv · 1310.1909

Solutions for the quasi-Yang-Baxter equation. Diagrammatics, axioms and semi-classical approximations

Gefry Barad
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Abstract

We generalize Nichita, Popovici and Tanasa solutions of the Braid equation to quasi-Yang-Baxter equation. We define quasi-braided Lie algebras in an additive monoidal category as a natural generalization of Majid's braided Lie algebra concept. Quasi-braided Lie algebras provide solutions for the quasi-Yang-Baxter equation. Examples came from Lie algebras in additive monoidal categories with non-strict associativity and from the theory of quasi-triangular quasi-Hopf algebras.

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Gefry Barad. 2013-10-07. Solutions for the quasi-Yang-Baxter equation. Diagrammatics, axioms and semi-classical approximations. https://arxiv.org/abs/1310.1909

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