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• W1970467611 abstract "Lie–Yamaguti algebras (or generalized Lie triple systems) are binary–ternary algebras intimately related to reductive homogeneous spaces. The Lie–Yamaguti algebras which are irreducible as modules over their Lie inner derivation algebra are the algebraic counterpart of the isotropy irreducible homogeneous spaces. These systems will be shown to split into three disjoint types: adjoint type, non-simple type and generic type. The systems of the first two types will be classified and most of them will be shown to be related to a Generalized Tits Construction of Lie algebras." @default.
• W1970467611 created "2016-06-24" @default.
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• W1970467611 date "2009-05-01" @default.
• W1970467611 modified "2023-10-02" @default.
• W1970467611 title "Irreducible Lie–Yamaguti algebras" @default.
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• W1970467611 doi "https://doi.org/10.1016/j.jpaa.2008.09.003" @default.
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