Solutions for the quasi-Yang-Baxter equation. Diagrammatics, axioms and semi-classical approximations
Quantum Algebra
2013-10-08 v1 High Energy Astrophysical Phenomena
Logic
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.
Keywords
Cite
@article{arxiv.1310.1909,
title = {Solutions for the quasi-Yang-Baxter equation. Diagrammatics, axioms and semi-classical approximations},
author = {Gefry Barad},
journal= {arXiv preprint arXiv:1310.1909},
year = {2013}
}
Comments
17 pages; critical comments are welcome