Inverting the Shapovalov form (Q1186761)
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scientific article; zbMATH DE number 37123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverting the Shapovalov form |
scientific article; zbMATH DE number 37123 |
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Inverting the Shapovalov form (English)
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28 June 1992
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Let \({\mathfrak g}\) be a complex semisimple Lie algebra. The author explicitly describes the entire inverse of the Shapovalov form (a \(U({\mathfrak g})\)-invariant bilinear pairing) associated to irreducible Verma modules. His formula implies that the singularities of the inverse are all simple poles.
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complex semisimple Lie algebra
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inverse of the Shapovalov form
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irreducible Verma modules
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