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Discrete series of Lie superalgebras - MaRDI portal

Discrete series of Lie superalgebras (Q788814)

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scientific article; zbMATH DE number 3843964
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Discrete series of Lie superalgebras
scientific article; zbMATH DE number 3843964

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    Discrete series of Lie superalgebras (English)
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    1980
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    The author has previously used step algebras to study the discrete series of any complex Lie algebra containing a reductive subalgebra of the same rank [Math. Scand. 41, 63-78 (1977; Zbl 0373.17006)]. This work is generalized to Lie superalgebras and exemplified by the superalgebra \({\mathfrak sl}(n,1)\), having even part \({\mathfrak gl}(n)\).
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    equivalence class of irreducible finite modules
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    discrete series
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    reductive subalgebra
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    Lie superalgebras
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