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Simple bounded highest weight modules of basic classical Lie superalgebras

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 Added by Dimitar Grantcharov
 Publication date 2018
  fields
and research's language is English




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We classify all simple bounded highest weight modules of a basic classical Lie superalgebra $mathfrak g$. In particular, our classification leads to the classification of the simple weight modules with finite weight multiplicities over all classical Lie superalgebras. We also obtain some character formulas of strongly typical bounded highest weight modules of $mathfrak g$.



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