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.KeywordsCapelli operatorsBiproductsSymmetrized bitableauxGordan-Capelli seriesYoung-Capelli symmetrizers
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