Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\) (Q919452)
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scientific article; zbMATH DE number 4160980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\) |
scientific article; zbMATH DE number 4160980 |
Statements
Two projections of singular vectors of Verma modules over the affine Lie algebra \(A^1_1\) (English)
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1989
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The author determines explicitly the projections of the singular vectors of the Verma modules over the affine Lie algebra \(A^1_1\) into \(U(\mathfrak{sl}(2))\) and \(U(H)\), where \(H\) is the Heisenberg algebra and \(U\) denotes the universal enveloping algebra. The results are applied for finding the cohomologies of certain nilpotent Lie algebras.
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singular vectors
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Verma modules
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affine Lie algebra
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