Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Guo, Shuangjian"'
Autor:
Sun, Qinxiu, Guo, Shuangjian
In this paper, we investigate non-abelian extensions and inducibility of pairs of automorphisms of Lie triple systems. First, we introduce non-abelian cohomology groups and classify the non-abelian extensions in terms of non-abelian cohomology groups
Externí odkaz:
http://arxiv.org/abs/2406.14577
In this paper, we investigate the mathematical structure of Nijenhuis Lie triple systems, an extension of classical Lie triple systems augmented with the Nijenhuis operator. Our study focuses on the cohomology of Nijenhuis Lie triple systems and demo
Externí odkaz:
http://arxiv.org/abs/2403.06121
Autor:
Teng, Wen, Guo, Shuangjian
The purpose of the present paper is to investigate cohomologies of Reynolds Lie-Yamaguti algebras of any weight and provide some applications. First, we introduce the notion of Reynolds Lie-Yamaguti algebras and give some new examples. Moreover, coho
Externí odkaz:
http://arxiv.org/abs/2406.12859
The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with derivations. First we introduce a notion of weighted Rota-Baxter LieDer an
Externí odkaz:
http://arxiv.org/abs/2402.06272
Autor:
Teng, Wen, Guo, Shuangjian
In this paper, first we introduce the concept of modified Rota-Baxter Lie-Yamaguti algebras. Then the cohomology of a modified Rota-Baxter Lie-Yamaguti algebra with coefficients in a suitable representation is established. As applications, the formal
Externí odkaz:
http://arxiv.org/abs/2401.17726
Autor:
Wu, Hui1 (AUTHOR) huiwu@qfnu.edu.cn, Guo, Shuangjian2 (AUTHOR) 201301108@mail.gufe.edu.cn, Zhang, Xiaohui1 (AUTHOR) zhangxh2015@qfnu.edu.cn
Publikováno v:
Axioms (2075-1680). Oct2024, Vol. 13 Issue 10, p685. 17p.
The notion of $\mathcal{O}$-operator is a generalization of the Rota-Baxter operator in the presence of a bimodule over an associative algebra. A compatible $\mathcal{O}$-operator is a pair consisting of two $\mathcal{O}$-operators satisfying a compa
Externí odkaz:
http://arxiv.org/abs/2207.13980
This paper is devoted to studying deformation, cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights. First we give the notion of a new representation of a Rota-Baxter pre-Lie algebra of arbitrary weight and define the cohomology the
Externí odkaz:
http://arxiv.org/abs/2204.13518
A cohomology theory of weighted Rota-Baxter $3$-Lie algebras is introduced. Formal deformations, abelian extensions, skeletal weighted Rota-Baxter $3$-Lie 2-algebras and crossed modules of weighted Rota-Baxter 3-Lie algebras are interpreted by using
Externí odkaz:
http://arxiv.org/abs/2204.00160