A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\) (Q1331187)
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scientific article; zbMATH DE number 618130
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\) |
scientific article; zbMATH DE number 618130 |
Statements
A note on a generalization of Macdonald's identities for \(A_ \ell\) and \(B_ \ell\) (English)
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14 August 1994
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A generalization of Macdonald identities for Dedekind's \(\eta\)-function is obtained, connected with complex simple finite dimensional Lie algebras of type \(A_ l\) and \(B_ l\). The formulas for the generating function of Ramanujan's functions are obtained as consequences.
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Macdonald's multivariable identities
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root system
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simple Lie algebras
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Dedekind's \(\eta\)-function
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Ramanujan's functions
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0.92159873
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0.8772119
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0.86864495
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