Graded Simple Jordan Superalgebras of Growth One

Graded Simple Jordan Superalgebras of Growth One

by Victor G. Kac, C. Martinez, Efim Zelmanov
     
 

ISBN-10: 082182645X

ISBN-13: 9780821826454

Pub. Date: 02/06/2001

Publisher: American Mathematical Society

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 $K$

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Overview

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.

Product Details

ISBN-13:
9780821826454
Publisher:
American Mathematical Society
Publication date:
02/06/2001
Series:
Memoirs Series, #150
Pages:
140
Product dimensions:
6.80(w) x 9.70(h) x 0.40(d)

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