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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new construction of the Kac Jordan superalgebra
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by Georgia Benkart and Alberto Elduque
Proc. Amer. Math. Soc. 130 (2002), 3209-3217
DOI: https://doi.org/10.1090/S0002-9939-02-06466-3
Published electronically: April 17, 2002
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Abstract:

We present an elementary construction of the 10-dimensional simple Jordan superalgebra K$_{10}$ of Kac using the 3-dimensional tiny Kaplansky superalgebra. This new realization of K$_{10}$ enables us to derive many of its properties.
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Bibliographic Information
  • Georgia Benkart
  • Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • MR Author ID: 34650
  • Email: benkart@math.wisc.edu
  • Alberto Elduque
  • Affiliation: Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
  • MR Author ID: 208418
  • Email: elduque@posta.unizar.es
  • Received by editor(s): June 25, 2001
  • Published electronically: April 17, 2002
  • Additional Notes: The first author gratefully acknowledges support from National Science Foundation Grant #DMS–9970119
    The second author has been supported by the Spanish DGES (Pb 97-1291-C03-03) and by a grant from the Spanish Dirección General de Enseñanza Superior e Investigación Científica (Programa de Estancias de Investigadores Españoles en Centros de Investigación Extranjeros), while visiting the University of Wisconsin at Madison.

    • Dedicated: To Irving Kaplansky
  • Communicated by: Lance W. Small
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 3209-3217
  • MSC (2000): Primary 17A70, 17B60
  • DOI: https://doi.org/10.1090/S0002-9939-02-06466-3
  • MathSciNet review: 1912998