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Derivations of the Cheng-Kac Jordan superalgebras

Authors
  • Barreiro, Elisabete
  • Elduque, Alberto
  • Martinez, Consuelo
Type
Preprint
Publication Date
Jan 03, 2011
Submission Date
Jan 03, 2011
Source
arXiv
License
Yellow
External links

Abstract

The derivations of the Cheng-Kac Jordan superalgebras are studied. It is shown that, assuming -1 is a square in the ground field, the Lie superalgebra of derivations of a Cheng-Kac Jordan superalgebra is isomorphic to the Lie superalgebra obtained from a simpler Jordan superalgebra (a Kantor double superalgebra of vector type) by means of the Tits-Kantor-Koecher construction. This is done by exploiting the S4-symmetry of the Cheng-Kac Jordan superalgebra.

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