Journal of Lie Theory

no. 4
Modules over Geometric Quandles and Representations of Lie-Yamaguti Algebras
Journal of Lie Theory, Volume 31 (2021) no. 4, pp. 897-932
We study quandle modules over geometric quandles Q, i.e., quandles endowed with geometric structures. In the case Q is a regular s-manifold, we exhibit how modules over Q are related with representations of Lie-Yamaguti algebras.
DOI: 10.5802/jolt.1200
Classification: 22A30, 14M17, 17D99, 22F30
Keywords: Quandle, regular s-manifold, Lie-Yamaguti algebra, Lie triple system, representation 
@article{JOLT_2021_31_4_a0,
     author = {N. Takahashi},
     title = {Modules over {Geometric} {Quandles} and {Representations} of {Lie-Yamaguti} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {897--932},
     year = {2021},
     volume = {31},
     number = {4},
     doi = {10.5802/jolt.1200},
     zbl = {1492.17005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1200/}
}
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N. Takahashi. Modules over Geometric Quandles and Representations of Lie-Yamaguti Algebras. Journal of Lie Theory, Volume 31 (2021) no. 4, pp. 897-932. doi: 10.5802/jolt.1200

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