Kantor–Koecher–Tits construction
id:
kantor-koecher-tits-construction-314-10490321
title:
Kantor–Koecher–Tits construction
text:
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. When applied to a 27-dimensional exceptional Jordan algebra it gives a Lie algebra of type E7 of dimension 133. The Kantor–Koecher–
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https://en.wikipedia.org/wiki/Kantor%E2%80%93Koecher%E2%80%93Tits_construction
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2023-03-16T02:37:37Z
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{"identifier":"Q6365576","url":"https://www.wikidata.org/entity/Q6365576"}
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