Isaiah Kantor
Encyclopedia
Isaiah Kantor (1936–2006) was a mathematician who introduced the Kantor–Koecher–Tits construction
, and the Kantor double
, a Jordan superalgebra constructed from a Poisson algebra
.
Kantor–Koecher–Tits construction
In algebra, the Kantor–Koecher–Tits construction is a method of constructing a Lie algebra from a Jordan algebra, introduced by , , and .If J is a Jordan algebra, the Kantor–Koecher–Tits construction puts a Lie algebra structure on J + J + J + Inner, the sum of 3 copies of J and the Lie algebra of...
, and the Kantor double
Kantor double
In mathematics, the Kantor double is a Jordan superalgebra structure on the sum of two copies of a Poisson algebra. It is named after Isaiah Kantor, who introduced it in ....
, a Jordan superalgebra constructed from a Poisson algebra
Poisson algebra
In mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz' law; that is, the bracket is also a derivation. Poisson algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups...
.