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- W2512657816 abstract "is a subspace of 2 (W) such that the product of 9f can be expressed in terms of the product in the Lie algebra 2 (W). As a first property we prove that 2 carries simple algebras into simple algebras. Then by checking the dimensions we shall see for instance that 2(W) is a Lie algebra of type E7 whenever 9f is a central simple exceptional Jordan algebra. In the case of finite dimensional Jordan algebra W we express the radical of 2 (W) in terms of the radical of W and we give some applications of it to the Wedderburn principal theorem for Jordan algebras and the complete reducibility of Jordan modules. Finally associative bilinear forms are constructed." @default.
- W2512657816 created "2016-09-16" @default.
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- W2512657816 date "2016-01-01" @default.
- W2512657816 modified "2023-09-26" @default.
- W2512657816 title "Introduction. Let W be a Jordan algebra over a given ground field of characteristic different from two and suppose that Sf contains an unit element. We consider a certain natural construction that associates a Lie algebffa 2 (W) with W. The algebra W is imbedded in 2 ((W) in the sense that SC" @default.
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