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Graded simple Jordan superalgebras of growth one by Victor G. Kac

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Published by American Mathematical Society in Providence, RI .
Written in

Subjects:

  • Jordan algebras.,
  • Superalgebras.

Book details:

Edition Notes

Includes bibliographical references.

StatementV.G. Kac, C. Martinez, E. Zelmanov.
SeriesMemoirs of the American Mathematical Society -- no. 711.
ContributionsMartinez, C. 1955-, Zelmanov, Efim, 1955-
Classifications
LC ClassificationsQA3 .A57 no. 711, QA252.5 .A57 no. 711
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL17716710M
ISBN 10082182645X
LC Control Number00053582

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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 . Destination page number Search scope Search Text. Jordan superalgebras defined by brackets on associative commutative superalgebras are studied. It is proved that any such superalgebra is imbedded into a superalgebra defined by Poisson brackets. Graded simple Jordan superalgebras of growth one V.G. Kac, C. Martinez, E. Zelmanov (Memoirs of the American Mathematical Society, no. ) American Mathematical Society,

  Title: Representations of simple Jordan superalgebras. Authors: Iryna Kashuba, Vera Serganova (Submitted on 28 Jun ) Abstract: This paper completes description of categories of representations of finite-dimensional simple unital Jordan superalgebras over algebraically closed field of characteristic zero.   KMZ V. G. Kac, C. Martinez, and, E. Zelmanov, Graded simple Jordan superalgebras of growth one, Mem. AMS, to appear. V. Kac, Classification of simple Z-graded Lie superalgebras and simple Jordan superalgebras (to appear). Kaplansky, Graded Lie and Jordan algebras (to appear). M. Koecher, On Lie algebras defined by Jordan algebras, Aarhus Univ. Lecture Notes, Aarhus, Zentralblatt MATH: Mathematical Reviews (MathSciNet): MR We classify simple finite Jordan conformal superalgebras and also establish preliminary results for the classification of simple finite Jordan pseudoalgebras.

Graded simple Jordan superalgebras of growth one. Memoirs of the AMS Series. We construct some examples of prime Jordan superalgebras of vector type whose odd part is a finitely generated projective module of rank 1 with arbitrarily many generators. These provide some examples of prime Jordan superalgebras of Cheng-Kac type. Jordan’s GDP growth between and averaged %, but from until , average growth was a mere %. Furthermore, Jordan’s total public debt has increased at a rate exceeding economic growth. This has resulted in a debt-to-GDP ratio of 95% at the end of , compared. Abstract. The purpose of this talk is to list the known simple Z-graded Lie superalgebras of finite growth over the field ¢ of complex numbers, compare the list with the similar one for Lie algebras, discuss their completeness and make emphasis on the geometric structures preserved by .