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math.QA2026
Lie Quandles, Leibniz Racks and Noether's First Theorem
Mohamed Elhamdadi, Bryce Virgin
In [Internat. J. Theoret. Phys. 64 (2025), 73, 10 pages], Fritz was motivated by the structure of Hamiltonian/Heisenberg mechanics to define the notion of ''Lie quandle'', which he…
math.QA2025
Yang-Baxter Equation and Related Algebraic Structures
Valeriy Bardakov, Mohamed Elhamdadi, Mahender Singh
In the 1990s, Drinfel'd proposed the study of set-theoretical solutions to the quantum Yang-Baxter equation, initiating a line of research that has since garnered substantial atten…