JORDAN BIMODULES OVER THE SUPERALGEBRAS P (n) AND Q(n)

نویسندگان

  • CONSUELO MARTÍNEZ
  • IVAN SHESTAKOV
چکیده

We extend the Jacobson’s Coordinatization theorem to Jordan superalgebras. Using it we classify Jordan bimodules over superalgebras of types Q(n) and JP (n), n ≥ 3. Then we use the Tits-Kantor-Koecher construction and representation theory of Lie superalgebras to treat the remaining case Q(2).

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تاریخ انتشار 2009