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of 273
pro vyhledávání: '"Yuan, Lamei"'
In this paper, we examine the concept of twisted Rota-Baxter (TRB) operators on associative conformal algebras. Our strategy begins by constructing an $L_\infty$-algebra using Maurer-Cartan elements derived from $H$-twisted Rota-Baxter ($H$-TRB) oper
Externí odkaz:
http://arxiv.org/abs/2308.08209
Autor:
Yuan, Lamei, Liu, Jiefeng
Based on Nijenhuis-Richardson bracket and bidegree on the cohomology complex for a Lie conformal algebra, we develop a twisting theory of Lie conformal algebras. By using derived bracket constructions, we construct $L_\infty$-algebras from (quasi-)tw
Externí odkaz:
http://arxiv.org/abs/2308.07596
In this paper, we first study infinitesimal deformations of a Lie conformal algebra and a Lie conformal algebra with a module (called an $\mathsf{LCMod}$ pair), which lead to the notions of Nijenhuis operator on the Lie conformal algebra and Nijenhui
Externí odkaz:
http://arxiv.org/abs/2204.11389
Autor:
Yuan, Lamei
We study $\mathcal{O}$-operators of associative conformal algebras with respect to conformal bimodules. As natural generalizations of $\mathcal{O}$-operators and dendriform conformal algebras, we introduce the notions of twisted Rota-Baxter operators
Externí odkaz:
http://arxiv.org/abs/2202.08575
Autor:
Yuan, Lamei, Li, Jiaxin
On Hom-Lie algebras and superalgebras,we introduce the notions of biderivations, linear commuting maps and {\alpha}-biderivations, and compute them for some typical Hom-Lie algebras and superalgebras, including q-deformed W(2,2) algebra, q-deformed W
Externí odkaz:
http://arxiv.org/abs/2108.06042
Publikováno v:
In Topology and its Applications 1 March 2024 344
Publikováno v:
In Journal of Advanced Research January 2024
Autor:
Mei, Yingjie, Liu, Yongmeng, Sun, Chuanzhi, Wang, Xiaoming, Wang, Dawei, Yuan, Lamei, Tan, Jiubin
Publikováno v:
In Advanced Engineering Informatics October 2023 58
Publikováno v:
In Ageing Research Reviews August 2023 89