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algebra > differential algebra > Lie algebra > Kantor-Koecher-Tits construction
... > algebra > abstract algebra > algebraic structure > algebra over a field > Lie algebra > Kantor-Koecher-Tits construction

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Kantor-Koecher-Tits construction  

Definition(s)

  • In algebra, the Kantor–Koecher–Tits construction is a method of constructing a Lie algebra from a Jordan algebra, introduced by Jacques Tits (1962), Kantor (1964), and Koecher (1967). If J is a Jordan algebra, the Kantor–Koecher–Tits construction puts a Lie algebra structure on J + J + Inner(J), the sum of 2 copies of J and the Lie algebra of inner derivations of J.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Kantor%E2%80%93Koecher%E2%80%93Tits_construction)

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