| eBook ISBN: | 978-1-4704-0304-1 |
| Product Code: | MEMO/150/711.E |
| List Price: | $60.00 |
| MAA Member Price: | $54.00 |
| AMS Member Price: | $36.00 |
| eBook ISBN: | 978-1-4704-0304-1 |
| Product Code: | MEMO/150/711.E |
| List Price: | $60.00 |
| MAA Member Price: | $54.00 |
| AMS Member Price: | $36.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 150; 2001; 140 ppMSC: Primary 17
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.
ReadershipGraduate students and research mathematicians interested in nonassociative rings and algebras.
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Table of Contents
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Chapters
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Introduction
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1. Structure of the even part
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2. Cartan type
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3. Even part is direct sum of two loop algebras
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4. $A$ is a loop algebra
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5. $J$ is a finite dimensional Jordan superalgebra or a Jordan superalgebra of a superform
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6. The main case
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7. Impossible cases
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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.
Graduate students and research mathematicians interested in nonassociative rings and algebras.
-
Chapters
-
Introduction
-
1. Structure of the even part
-
2. Cartan type
-
3. Even part is direct sum of two loop algebras
-
4. $A$ is a loop algebra
-
5. $J$ is a finite dimensional Jordan superalgebra or a Jordan superalgebra of a superform
-
6. The main case
-
7. Impossible cases
