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Memoirs of the American Mathematical Society
2001; 140 pp; softcover
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Order Code: MEMO/150/711
We classify graded simple Jordan superalgebras of growth one which correspond the so called "superconformal algebras" via the Tits-Kantor-Koecher construction.
The superconformal algebras with a "hidden" Jordan structure are those of type \(K\) and the recently discovered Cheng-Kac superalgebras \(CK(6)\). We show that Jordan superalgebras related to the type \(K\) are Kantor Doubles of some Jordan brackets on associative commutative superalgebras and list these brackets.
Graduate students and research mathematicians interested in nonassociative rings and algebras.
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