4 papers
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…
Nijenhuis operators and twisted -operators on Nambu-Poisson algebras
Apurba Das, Fattoum Harrathi, Sami Mabrouk
A ternary Nambu-Poisson algebra (which we call a Nambu-Poisson algebra in the paper) is the underlying algebraic structure of Nambu-Poisson manifolds of order that appeared in…
Associative-Yamaguti algebras
Apurba Das
In this paper, we first introduce associative-Yamaguti algebras as the associative analogue of Lie-Yamaguti algebras. Associative algebras, reductive associative algebras and assoc…
Applications of Poisson cohomology to the inducibility problems and study of deformation maps
Apurba Das, Ramkrishna Mandal, Anupam Sahoo
This paper provides some applications of the Poisson cohomology groups introduced by Flato, Gerstenhaber and Voronov. Given an abelian extension of a Poisson algebra by a represent…