Graded Simple Jordan Superalgebras of Growth One
Victor G. Kac, C. Martinez, E. Zelmanov
Résumé
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.
Contents
- Introduction
- Structure of the even part
- Cartan type
- Even part is direct sum of two loop algebras
- $A$ is a loop algebra
- $J$ is a finite dimensional Jordan superalgebra or a Jordan superalgebra of a superform
- The main case
- Impossible cases
- Bibliography
L'auteur - Victor G. Kac
Victor Kac is Professor of Mathematics at MIT. He is an author of 4 books and over a hundred research papers. He was awarded the Wigner Medal for his work on Kac-Moody algebras that has numerous applications to mathematics and theoretical physics. He is a honorary member of the Moscow Mathematical Society.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | American Mathematical Society (AMS) |
| Auteur(s) | Victor G. Kac, C. Martinez, E. Zelmanov |
| Parution | 01/05/2001 |
| Nb. de pages | 140 |
| Format | 18 x 25,3 |
| Couverture | Broché |
| Poids | 287g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780821826454 |
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