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Autor: Teng, Wen, Long, Fengshan, Zhang, Hui, Jin, Jiulin

In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie tri

Externí odkaz: http://arxiv.org/abs/2311.07531

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Weighted $\mathcal{O}$-operators on Hom-Lie triple systems

Autor: Teng, Wen, Jin, Jiulin

In this paper, we first introduce the notion of a weighted $\mathcal{O}$-operator on Hom-Lie triple systems with respect to an action on another Hom-Lie triple system. Next, we construct a cohomology of weighted $\mathcal{O}$-operator on Hom-Lie trip

Externí odkaz: http://arxiv.org/abs/2310.13728

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Semigroup of transformations with restricted partial range: Regularity, abundance and some combinatorial results

Autor: Jin, Jiulin, You, Taijie

Suppose that $X$ be a nonempty set. Denote by $\mathcal{T}(X)$ the full transformation semigroup on $X$. For $\varnothing \neq Z\subseteq Y\subseteq X$, let $\mathcal{T}(X,Y,Z)=\{\alpha \in \mathcal{T}(X): Y\alpha \subseteq Z \}$. Then $\mathcal{T}(X

Externí odkaz: http://arxiv.org/abs/2306.00822

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Embedding tensors on 3-Hom-Lie algebras

Autor: Teng, Wen, Jin, Jiulin, Zhang, Yu

In this paper, we introduce the notion of embedding tensor on 3-Hom-Lie algebras and naturally induce 3-Hom-Leibniz algebras. Moreover, the cohomology theory of embedding tensors on 3-Hom-Lie algebras is defined. As an application, we show that if tw

Externí odkaz: http://arxiv.org/abs/2307.00961

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