Abstract
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.
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© 2004 Birkhäuser Boston
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Brini, A., Regonati, F., Teolis, A. (2004). The Method of Virtual Variables and Representations of Lie Superalgebras. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_16
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DOI: https://doi.org/10.1007/978-1-4612-2044-2_16
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3525-1
Online ISBN: 978-1-4612-2044-2
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