2 papers
math.GT2026
Fourier Analysis and Idempotents in Quandle Algebras
Mohamed Elhamdadi, Luc Ta, Bryce Virgin
In 2023, the first author, Nunez, Singh, and Swain [10] formulated an analogue of Kaplansky's idempotent conjecture for integral quandle rings. In this paper, we develop a new Four…
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…