Journal of Lie Theory

no. 2
Representations and Cohomologies of Differential Lie-Yamaguti Algebras with any Weights
Journal of Lie Theory, Volume 33 (2023) no. 2, pp. 641-662
The goal of the present paper is to provide representation and cohomological theory of differential Lie-Yamaguti algebras with any weights. We introduce the notion of a differential Lie-Yamaguti algebra and its representation. We also consider matched pairs and Manin triples of Lie-Yamaguti algebras. Furthermore, we discuss cohomology theory of a differential Lie-Yamaguti algebra. The deformations and abelian extensions of differential Lie-Yamaguti algebras are also investigated.
DOI: 10.5802/jolt.1297
Classification: 17B99,17A30,16S80
Keywords: Differential Lie-Yamaguti algebra, representation, matched pair, Manin triple, cohomology, deformation 
@article{JOLT_2023_33_2_a7,
     author = {Q. Sun and S. Chen},
     title = {Representations and {Cohomologies} of {Differential} {Lie-Yamaguti} {Algebras} with any {Weights}},
     journal = {Journal of Lie Theory},
     pages = {641--662},
     year = {2023},
     volume = {33},
     number = {2},
     doi = {10.5802/jolt.1297},
     zbl = {1523.17005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1297/}
}
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Q. Sun; S. Chen. Representations and Cohomologies of Differential Lie-Yamaguti Algebras with any Weights. Journal of Lie Theory, Volume 33 (2023) no. 2, pp. 641-662. doi: 10.5802/jolt.1297

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