e_6 is an exceptional Jordan algebra that arises from the structure of the Lie group E_6, a complex simple Lie group of rank 6. It plays a significant role in various mathematical contexts, including geometry and representation theory, highlighting its connection to symmetry and algebraic structures. As an exceptional object, e_6 stands apart from classical algebras and showcases unique properties that contribute to its importance in the study of non-associative algebras.
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