Zobrazeno 1 - 10
of 468
pro vyhledávání: '"Chen Liangyun"'
Autor:
Mao, Dan, Chen, Liangyun
This paper mainly studies the ResLieDer pair in characteristic 2, that is, a restricted Lie algebra with a restricted derivation. We define the restricted representation of a ResLieDer pair and the corresponding cohomology complex. We show that a Res
Externí odkaz:
http://arxiv.org/abs/2406.07552
The aim of this paper is to transfer the restrictedness theory to Hom-Lie algebras. The concept of restricted Hom-Lie algebras which is introduced in \cite{BM2} will be used in this paper. First, the existence of $p$-structures on a Hom-Lie algebra i
Externí odkaz:
http://arxiv.org/abs/2311.08406
Autor:
Liu, Shanshan, Chen, Liangyun
In this paper, we use the higher derived bracket to give the controlling algebra of pre-LieDer pairs. We give the cohomology of pre-LieDer pairs by using the twist $L_\infty$-algebra of this controlling algebra. In particular, we define the cohomolog
Externí odkaz:
http://arxiv.org/abs/2306.12425
Autor:
Liu, Shanshan, Chen, Liangyun
In this paper, we first give the notation of a compatible pre-Lie algebra and its representation. We study the relation between compatible Lie algebras and compatible pre-Lie algebras. We also construct a new bidifferential graded Lie algebra whose M
Externí odkaz:
http://arxiv.org/abs/2302.07178
In this paper, we introduce the representation of anti-pre-Lie algebras and give the second cohomology group of anti-pre-Lie algebras. As applications, first, we study linear deformations of anti-pre-Lie algebras. The notion of a Nijenhuis operator o
Externí odkaz:
http://arxiv.org/abs/2301.06917
In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz triple systems. We use the cohomological approach to study linear and formal deformations of relative Rota-Baxter operators. In particular, formal deformat
Externí odkaz:
http://arxiv.org/abs/2210.04589
In this paper, we introduce the notion of a relative Rota-Baxter operator of weight $\lambda$ on a Lie triple system with respect to an action on another Lie triple system, which can be characterized by the graph of their semidirect product. We also
Externí odkaz:
http://arxiv.org/abs/2207.08946
Publikováno v:
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , 2024, 154(2), 483 - 493
With the $\Omega$-operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the $\Omega$-operators for the Ovsienko-Roger superalgebras in this paper and then use it to classify all simple cuspidal modules
Externí odkaz:
http://arxiv.org/abs/2205.07509
Autor:
Liu, Shanshan, Chen, Liangyun
Publikováno v:
In Journal of Geometry and Physics January 2025 207
In Fialowski's classification for algebras of maximal class, there are three Lie algebras of maximal class with 1-dimensional homogeneous components: $\mathfrak{m}_0$, $L_1$ and $\mathfrak{m}_2$. In this paper, we studied their biderivations by consi
Externí odkaz:
http://arxiv.org/abs/2111.07740