10 citations · 16 across the 11 of their papers we have counts for
12 papers
Deformation maps of Quasi-twilled associative algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper, we introduce two types of deformation maps of quasi-twilled associative algebras. Each type of deformation maps unify various operators on associative algebras. Righ…
Deformations and cohomologies of embedding tensors on 3-Lie algebras
Meiyan Hu, Shuai Hou, Lina Song +1
In this paper, first we introduce the notion of an embedding tensor on a 3-Lie algebra, which naturally induces a 3-Leibniz algebra. Using the derived bracket, we construct a Lie 3…
Cohomology and the controlling algebra of crossed homomorphisms on 3-Lie algebras
Shuai Hou, Meiyan Hu, Lina Song +1
In this paper, first we give the notion of a crossed homomorphism on a 3-Lie algebra with respect to an action on another 3-Lie algebra, and characterize it using a homomorphism fr…
The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploit strongly th…
On Hom-pre-Poisson algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper, first we discuss Hom-pre-Poisson algebras and their relationships with Hom-Poisson algebra. Then we introduce the notion of a Hom-pre-Gerstenhaber algebra and show t…
On Hom-pre-Lie bialgebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper we introduce the notion of Hom-pre-Lie bialgebra in the general framework of the cohomology theory for Hom-Lie algebras. We show that Hom-pre-Lie bialgebras, standard…
Representations and cohomologies of Hom-pre-Lie algebras
Shanshan Liu, Lina Song, Rong Tang
In this paper, first we study dual representations and tensor representations of Hom-pre-Lie algebras. Then we develop the cohomology theory of Hom-pre-Lie algebras in term of the…
Generalized metric -Leibniz algebras and generalized orthogonal representation of metric Lie algebras
Li-Na Song, Rong Tang
We introduce the notion of a generalized metric n-Leibniz algebra and show that there is a one-to-one correspondence between generalized metric n-Leibniz algebras and faithful gene…
On non-abelian extensions of 3-Lie algebras
Lina Song, Abdenacer Makhlouf, Rong Tang
In this paper, we study non-abelian extensions of 3-Lie algebras through Maurer-Cartan elements. We show that there is a one-to-one correspondence between isomorphism classes of no…
Cohomologies, deformations and extensions of n-Hom-Lie algebras
Lina Song, Rong Tang
In this paper, first we give the cohomologies of an -Hom-Lie algebra and introduce the notion of a derivation of an -Hom-Lie algebra. We show that a derivation of an -Hom-…
Cohomology characterizations of non-abelian extensions of Hom-Lie algebras
Lina Song, Rong Tang
In this paper, first we show that under the assumption of the center of h being zero, diagonal non-abelian extensions of a regular Hom-Lie algebra g by a regular Hom-Lie algebra h…
Derivation Hom-Lie 2-algebras and non-abelian extensions of Hom-Lie algebras
Lina Song, Rong Tang
In this paper, we introduce the notion of a derivation of a Hom-Lie algebra and construct the corresponding strict Hom-Lie 2-algebra, which is called the derivation Hom-Lie 2-algeb…