3 papers
math.RA2024
Dg Loday-Pirashvili modules over Lie algebras
Zhuo Chen, Yu Qiao, Maosong Xiang +1
A Loday-Pirashvili module over a Lie algebra is a Lie algebra object in the category of linear maps, or equivalently, a…
math.RA2024
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…
math.RA2024
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…