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Even derivations of the eight basic simple Jordan superalgebras

Posted on:2007-11-01Degree:Ph.DType:Dissertation
University:University of VirginiaCandidate:Smith, Michael David BriggsFull Text:PDF
GTID:1450390005482438Subject:Mathematics
Abstract/Summary:
Efim Zel'manov and Michelle Racine [3] classified simple Jordan superalgebras with semisimple even part over fields of characteristic different from 2. They exhibited eleven types of superalgebras, three of which only exist over rings of characteristic 3. The other eight types exist as quadratic Jordan superalgebras over arbitrary commutative, associative and unital rings. We determine the even derivation algebras, Der(J), of these eight quadratic Jordan superalgebras and of related Jordan algebras.
Keywords/Search Tags:Jordan superalgebras
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