Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions (Q1328224)
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scientific article; zbMATH DE number 599703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions |
scientific article; zbMATH DE number 599703 |
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Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions (English)
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5 March 1995
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New difference equations are derived for general \(q\)-hypergeometric functions. The equations have a form similar to the quantum Knizhnik- Zamolodchikov equation for quantum affine algebras introduced by Frenkel and Reshetikhin. The equations are deduced in a geometric way studying the properties of the Jackson integral and \(q\)-cycles. A complete proof of Matsuo's formulas for solutions to \(q\)-Knizhnik- Zamolodchikov equations for \(\widehat {sl}_ 2\) is given.
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difference equations
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\(q\)-hypergeometric functions
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quantum Knizhnik- Zamolodchikov equation
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\(q\)-Knizhnik-Zamolodchikov equations
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