Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors (Q795152)
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scientific article; zbMATH DE number 3861391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors |
scientific article; zbMATH DE number 3861391 |
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Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors (English)
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1984
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The author extends the classical method of H. Weyl for obtaining all the irreducible finite-dimensional representations of simple Lie algebras of type \(A_ n\) to the superalgebras of types \({\mathfrak gl}(n,m)\) and Q(n). As a consequence, the character formula of the irreducible finite- dimensional representations of Q(n) in a tensor space is derived.
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Lie superalgebras
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character formula
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representations
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tensor space
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