Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions (Q916764)
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scientific article; zbMATH DE number 4154680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions |
scientific article; zbMATH DE number 4154680 |
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Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions (English)
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1990
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[For part I, see Lett. Math. Phys. 19, No. 3, 187--194 (1990; Zbl 0704.17007)] Some series of unitary representations of the quantum group \(\text{SU}_q(1,1)\) are introduced. The matrix elements in these representations are expressed in terms of the basic hypergeometric functions. Operator realization of the coordinate elements of \(\text{SU}_q(1,1)\) and a \(q\)-analogue of some classical identities are discussed.
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unitary representations
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quantum group
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basic hypergeometric functions
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\(q\)-analogue
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0.8958298
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0.88596994
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0.8833809
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0.88026834
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0.88017476
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