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arXiv 2016-01-23 0 views

Assosymmetric algebras under jordan product

Dzhumadil'daev, A. S.

Original · EN

We prove that assosymmetric algebras under Jordan product are Lie triple. A Lie triple algebra is called special if it is isomorphic to a subalgebra of some plus-assosymmetric algebra. We establish that Glennie identitiy is valid for special Lie triple algebras, but not for all Lie triple algebras.

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