Graded Simple Jordan Superalgebras of Growth One
Author： V. G. Kac;C. Martinez;E. Zelmanov
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470403041
P-ISBN(Paperback): 9780821826454
P-ISBN(Hardback): 9780821826454
Subject： O151.23 multilinear algebra
Keyword： Algebra and Algebraic Geometry
Language： ENG
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Graded Simple Jordan Superalgebras of Growth One
Description
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.