Graded Simple Jordan Superalgebras of Growth One

Buch | Softcover

2001
American Mathematical Society (Verlag)
978-0-8218-2645-4 (ISBN)

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Classifies graded simple Jordan superalgebras of growth one which correspond the so called 'superconformal algebras' via the Tits-Kantor-Koecher construction. This title shows that Jordan superalgebras related to the type $K$ are Kantor Doubles of some Jordan brackets on associative commutative superalgebras and lists these brackets.

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.

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.

Erscheint lt. Verlag	1.3.2001
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	bibliography
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-8218-2645-X / 082182645X
ISBN-13	978-0-8218-2645-4 / 9780821826454
Zustand	Neuware