2004 | OriginalPaper | Buchkapitel
The Method of Virtual Variables and Representations of Lie Superalgebras
verfasst von : Andrea Brini, Francesco Regonati, Antonio Teolis
Erschienen in: Clifford Algebras
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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We provide a brief account of Capelli’s method of virtual variables and of its relations with representations of general linear Lie superalgebras. More specifically, we study letterplace superalgebras regarded as bimodules under the action of superpolarization operators and exhibit complete decomposition theorems for these bimodules as well as for the operator algebras acting on them.