54 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Guizhou UniversityCN18 papers
- Chuzhou UniversityCN8 papers
- Central China Normal UniversityCN7 papers
- Qufu Normal UniversityCN6 papers
- Eastern Mediterranean UniversityCY5 papers
- Guizhou Normal UniversityCN5 papers
- Southwest UniversityCN5 papers
- Guizhou Minzu UniversityCN4 papers
- University of SalernoIT4 papers
- Chinese Academy of SciencesCN3 papers
- Istituto Nazionale di Fisica NucleareIT3 papers
- Peking UniversityCN3 papers
15 papers · 1 filter
Cohomology and deformations of nonabelian embedding tensors between Lie triple systems
Wen Teng
In this paper, first we introduce the notion of nonabelian embedding tensors between Lie triple systems and show that nonabelian embedding tensors induce naturally 3-Leibniz algebr…
Weighted -operators on Hom-Lie triple systems
Wen Teng, Jiulin Jin
In this paper, we first introduce the notion of a weighted -operator on Hom-Lie triple systems with respect to an action on another Hom-Lie triple system. Next, we con…
Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
Wen Teng, Xiansheng Dai
In this paper, first we introduce the notion of a nonabelian embedding tensor on the 3-Lie algebra. Then, we introduce the notion of a 3-Leibniz-Lie algebra, which is the underlyin…
Deformations and extensions of modified -differential -Lie Algebras
Wen Teng, Hui Zhang
In this paper, we introduce the representation of modified -differential -Lie algebras and define the cohomology of modified -differential -Lie algebras with coefficien…
Cohomologies of modified -differential Lie triple systems and applications
Wen Teng, Fengshan Long, Yu Zhang
In this paper, we introduce the concept and representation of modified -differential Lie triple systems. Next, we define the cohomology of modified -differential Lie triple s…
On the structure of split regular Hom-Lie Rinehart algebras
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
The aim of this paper is to study the structures of split regular Hom-Lie Rinehart algebras. Let be a split regular Hom-Lie Rinehart algebra. We first show that is of t…
Central invariants and enveloping algebras of braided Hom-Lie algebras
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
Let be a monoidal Hom-Hopf algebra and the Hom-Yetter-Drinfeld category over . Then in this paper, we first introduce the definition of braid…
The construction of Hom left-symmetric conformal bialgebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
In this paper, we first introduce the notion of Hom-left-symmetric conformal bialgebras and show some nontrivial examples. Also, we present construction methods of matched pairs of…
Representations and derivations of Hom-Lie conformal superalgebras
Shuangjian Guo, Lihong Dong, Shengxiang Wang
In this paper, we introduce a representation theory of Hom-Lie conformal superalgebras and discuss the cases of adjoint representations. Furthermore, we develop cohomology theory o…
The construction and deformation of BiHom-Novikov agebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
BiHom-Novikov agebra is a generalized Hom-Novikov algebra endowed with two commuting multiplicative linear maps. The main purpose of this paper is to show that two classes of BiHom…
Yetter-Drinfeld modules for weak Hom-Hopf algebras
Shuangjian Guo, Yizheng Li, Shengxiang Wang
The aim of this paper is to define and study Yetter-Drinfeld modules over weak Hom-Hopf algebras. We show that the category of Yetter-Drinfeld modules with bijec…
Crossed product Hom-Hopf algebras and lazy 2-cocycle
Daowei Lu, Shuangjian Guo
Let $(H,\a)$ be a Hom-Hopf algebra and $(A,\b)$ be a Hom-algebra. In this paper we will construct the Hom-crossed product $(A\#_σH,\bø\a)$, and prove that the extension $A\subseteq…
Relative Hom-Hopf modules and total integrals
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
Let $(H, \a)$ be a monoidal Hom-Hopf algebra and $(A, \b)$ a right $(H, \a)$-Hom-comodule algebra. We first investigate the criterion for the existence of a total integral of $(A,…
A Maschke type theorem for relative Hom-Hopf modules
Shuang-jian Guo, Xiu-li Chen
In this paper, we prove a Maschke type theorem for the category of relative Hom-Hopf modules. In fact, we give necessary and sufficient conditions for the functor that forgets the…
Braided monoidal categories and Doi Hopf modules for monoidal Hom-Hopf algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
We first introduce the notion of Doi Hom-Hopf modules and find the sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. Also we obtain the condition for th…