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- W1988748705 abstract "On the set of symmetric matrices over the field , we can define various binary and ternary products which endow it with the structure of a Jordan algebra or a Lie or Jordan triple system. All these nonassociative structures have the orthogonal Lie algebra as derivation algebra. This gives an embedding for . We obtain a sequence of reductive pairs that provides a family of irreducible Lie-Yamaguti algebras. In this paper, we explain in detail the construction of these Lie-Yamaguti algebras. In the cases , we use computer algebra to determine the polynomial identities of degree ; we also study the identities relating the bilinear Lie-Yamaguti product with the trilinear product obtained from the Jordan triple product." @default.
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- W1988748705 date "2014-06-27" @default.
- W1988748705 modified "2023-10-02" @default.
- W1988748705 title "Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras" @default.
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- W1988748705 doi "https://doi.org/10.1080/03081087.2014.930141" @default.
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