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Factorizations, classifying complements problem and deformation maps for Lie-Yamaguti algebras
Apurba Das
A Lie-Yamaguti algebra is a non-associative algebraic structure that generalizes both Lie algebras and Lie triple systems. We first consider the factorization problem for Lie-Yamag…
Higher structures for Lie -pseudoalgebras
Apurba Das
Let be a cocommutative Hopf algebra. The notion of Lie -pseudoalgebra is a multivariable generalization of Lie conformal algebras. In this paper, we study some higher struct…
Representations and cohomology of a matched pair of Lie algebras, and -algebras
Anusuiya Baishya, Apurba Das
The notion of a matched pair of Lie algebras was introduced in the study of Lie bialgebras and Poisson-Lie groups. In this paper, we introduce representations and cohomology of a m…
Non-abelian cohomology of Lie -pseudoalgebras and inducibility of automorphisms
Apurba Das
The notion of Lie -pseudoalgebra is a higher-dimensional analogue of Lie conformal algebras. In this paper, we classify the equivalence classes of non-abelian extensions of a Li…