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Keywords = Mock-Lie algebras

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6 pages, 239 KiB  
Proceeding Paper
Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras
by Amir Baklouti
Comput. Sci. Math. Forum 2023, 7(1), 24; https://doi.org/10.3390/IOCMA2023-14397 - 28 Apr 2023
Viewed by 1085
Abstract
This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum field theory. The paper also proposes studying the [...] Read more.
This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum field theory. The paper also proposes studying the admissible associative Yang–Baxter equation in algebras and characterizing Q-Admissible Solutions of the Associative Yang–Baxter Equation in Rota–Baxter Algebras. Finally, it discusses the interplay of coalgebra, r-matrix, and pseudo-Euclidean forms in the context of Jordan algebras and its applications in quantum groups and integrable systems. Full article
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