Graded simple Jordan superalgebras of growth one

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作者
Kac, VG
Martinez, C
Zelmanov, E
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O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify graded simple Jordan superalgebras of growth one which correspond to 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.
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页数:139
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