Jordan bimodules over the superalgebras $P(n)$ and $Q(n)$
نویسندگان
چکیده
منابع مشابه
JORDAN BIMODULES OVER THE SUPERALGEBRAS P (n) AND Q(n)
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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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2009
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-09-04997-6