2 papers
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…
math.RA2024
Deformation maps in proto-twilled Leibniz algebras
Apurba Das, Suman Majhi, Ramkrishna Mandal
This paper aims to find a unified approach to studying the cohomology theories of various operators on Leibniz algebras. We first introduce deformation maps in a proto-twilled Leib…