The Freudenthal algebra, also known as the Freudenthal triple system, is a mathematical structure introduced by Hans Freudenthal in the context of nonlinear algebra. It is primarily used in the study of certain Lie algebras and has connections to exceptional Lie groups and projective geometry. A Freudenthal triple system is defined as a vector space \( V \) equipped with a bilinear product, which satisfies specific axioms.
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