On certain models of irreducible representations of \(\text{sl} (2, \mathbb{C})\) and Euler integral transformation (Q1911911)
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scientific article; zbMATH DE number 871092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain models of irreducible representations of \(\text{sl} (2, \mathbb{C})\) and Euler integral transformation |
scientific article; zbMATH DE number 871092 |
Statements
On certain models of irreducible representations of \(\text{sl} (2, \mathbb{C})\) and Euler integral transformation (English)
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26 November 1996
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The special linear algebra \(Sl(2, \mathbb{C})\) is subjected to further investigation and a few interesting variable models of the representations of this algebra are worked out. For this, techniques of \textit{H. L. Manocha} [J. Math. Anal. Appl. 138, No. 2, 491-510 (1989; Zbl 0674.33010)] are basically followed. As applications some generating functions and recurrence relations are obtained.
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Lie groups
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Lie algebras
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difference-differential operators
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Gaussian hypergeometric function
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