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math-ph2026
Diassociative conformal algebras and their deformation cohomology
Anupam Sahoo, Apurba Das
In this paper, we introduce diassociative conformal algebras that unify both associative conformal algebras and diassociative algebras. We show that the category of diassociative c…
math-ph2025
From -Leibniz algebras and linear -racks to the solutions of the (higher analogue of) Yang-Baxter equation
Apurba Das, Suman Majhi
In this paper, we first demonstrate that a finite-dimensional -Leibniz algebra naturally gives rise to an -rack structure on the underlying vector space. Given any -Leibni…