Commutant algebra of Cartan-type Lie superalgebra \(W(n)\) (Q1816611)
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scientific article; zbMATH DE number 950584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutant algebra of Cartan-type Lie superalgebra \(W(n)\) |
scientific article; zbMATH DE number 950584 |
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Commutant algebra of Cartan-type Lie superalgebra \(W(n)\) (English)
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27 November 1996
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Let \(W(n)\) be the Lie superalgebra of all the superderivations on a Grassmann algebra \(\Lambda(n)\) of \(n\)-variables. The authors study an analogue of Weyl's classical reciprocity for \(W(n)\) and show that the bicommutant algebra of \(W(1)\) coincides with an image of its universal enveloping algebra \(U(W(1))\).
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Cartan-type Lie superalgebra
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commutant algebra
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Weyl reciprocity
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bicommutant algebra
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