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math.RA2022
The classical Lie-Yamaguti Yang-Baxter equation and Lie-Yamaguti bialgebras
Jia Zhao, Yu Qiao
In this paper, we develop the bialgebra theory for Lie-Yamaguti algebras. For this purpose, we exploit two types of compatibility conditions: local cocycle condition and double con…
math.RA2022★ 3 cited
Cohomology and relative Rota-Baxter-Nijenhuis structures on LieYRep pairs
Jia Zhao, Yu Qiao
A LieYRep pair consists of a Lie-Yamaguti algebra and its representation. In this paper, we establish the cohomology theory of LieYRep pairs and characterize their linear deformati…
math.RA2022
Cohomology and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras
Jia Zhao, Yu Qiao
In this paper, we establish the cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then we use this type of cohomology to characteri…