17 citations · 24 across the 22 of their papers we have counts for
19 papers · 1 filter
Extending Structures for -Lie Algebras
Tao Zhang
Motivated by the Casas-Loday-Pirashvili maps concerning representations of -Leibniz algebras, we give an intrinsic characterization of the cohomology of -Lie algebras with co…
Representation and cohomology of embedding tensors on Malcev algebras
Tao Zhang, Wei Zhong
We introduce the concept of embedding tensor on Malcev algebras. The representation and cohomology theory of embedding tensor on Malcev algebras are studied. Some applications in d…
Cohomology of -Lie algebras in Loday-Pirashvili category
Tao Zhang
In this article, we present the concept of -Lie algebras in the Loday-Pirashvili category. We examine the representation and cohomology theory of -Lie algebras in this catego…
Cohomology of Hom-associative algebras in Loday-Pirashvili category with applications
Tao Zhang
We introduce the concept of Hom-associative algebra structures in Loday-Pirashvili category.The cohomology theory of Hom-associative algebras in this category is studied.Some appli…
Conformal Lie 2-algebras and conformal omni-Lie algebras
Tao Zhang
The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2…
Extending structures for noncommutative Poisson bialgebras
Tao Zhang, Fang Yang
We introduce the concept of braided noncommutative Poisson bialgebras. The theory of cocycle bicrossproducts for noncommutative Poisson bialgebras is developed. As an application,…