5 citations · 11 across the 12 of their papers we have counts for
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Maurer-Cartan characterization, -algebras, and cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras
Jia Zhao, Yu Qiao
In this paper, we first construct a differential graded Lie algebra that controls deformations of a Lie-Yamaguti algebra. Furthermore, a relative Rota-Baxter operator on a Lie-Yama…
Post Lie-Yamaguti algebras, relative Rota-Baxter operators of nonzero weights, and their deformations
Jia Zhao, Senrong Xu, Yu Qiao
In this paper, we introduce the notions of relative Rota-Baxter operators of weight on Lie-Yamaguti algebras, and post-\LYA s, which is an underlying algebraic structure of rel…
Cohomology and deformations of crossed homomorphisms between Lie-Yamaguti algebras
Jia Zhao, Yu Qiao, Senrong Xu
In this paper, we introduce the notion of crossed homomorphisms between Lie-Yamaguti algebras and establish the cohomology theory of crossed homomorphisms via the Yamaguti cohomolo…
Para-Kähler and pseudo-Kähler structures on Lie-Yamaguti algebras
Jia Zhao, Yuqin Feng, Yu Qiao
For a pre-Lie-Yamaguti algebra , by using its sub-adjacent Lie-Yamaguti algebra , we are able to construct a semidirect product Lie-Yamaguti algebra via a representation of…