Irreducible Lie-Yamaguti algebras of generic type

DOI10.1016/j.jpaa.2010.04.003zbMath1225.17001arXiv0907.3622OpenAlexW2124255065WikidataQ115345556 ScholiaQ115345556MaRDI QIDQ712188

Fabián Martín-Herce, Alberto Elduque, Pilar Benito

Publication date: 28 October 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3622

zbMATH Keywords

classificationLie algebraLie triple systemFreudenthal triple systemsJordan systemsLie-Yamaguti algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Ternary compositions (17A40)

Related Items (13)

Quasi-derivations of Lie–Yamaguti algebras ⋮ On the Faulkner construction for generalized Jordan superpairs ⋮ A polynomial identity for the bilinear operation in Lie–Yamaguti algebras ⋮ Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras ⋮ On the deformation of Lie-Yamaguti algebras ⋮ Reductive homogeneous spaces of the compact Lie group \(G_2\) ⋮ Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs ⋮ Unnamed Item ⋮ Reductive homogeneous spaces and nonassociative algebras ⋮ Nijenhuis operators, product structures and complex structures on Lie–Yamaguti algebras ⋮ On Killing forms and invariant forms of Lie-Yamaguti superalgebras ⋮ The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra ⋮ Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras

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