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Graded Simple Jordan Superalgebras of Growth One (Memoirs of the American Mathematical Society)
Graded Simple Jordan Superalgebras of Growth One - Memoirs of the American Mathematical Society Author:Victor G. Kac, C. Martinez, Efim Zelmanov 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 t... more »o the type $K$ are Kantor Doubles of some Jordan brackets on associative commutative superalgebras and list these brackets.« less