Geodesic
Modules over Geometric Quandles and Representations of Lie-Yamaguti Algebras
Nobuyoshi Takahashi1
1Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan
Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 897-932

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22A30, 14M17, 17D99, 22F30
Mots-clés : Quandle, regular s-manifold, Lie-Yamaguti algebra, Lie triple system, representation

Nobuyoshi Takahashi  1

1 Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan 
Nobuyoshi Takahashi. Modules over Geometric Quandles and Representations of Lie-Yamaguti Algebras. Journal of Lie Theory, Tome 31 (2021) no. 4, pp. 897-932. http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a0/
@article{JOLT_2021_31_4_a0,
     author = {Nobuyoshi 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_4_a0/}
}
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