| dc.contributor.author |
Guin, Satyajit |
|
| dc.contributor.author |
Saurabh, Bipul |
|
| dc.coverage.spatial |
United Kingdom |
|
| dc.date.accessioned |
2023-12-19T13:48:22Z |
|
| dc.date.available |
2023-12-19T13:48:22Z |
|
| dc.date.issued |
2023-12 |
|
| dc.identifier.citation |
Guin, Satyajit and Saurabh, Bipul, "On the Clebsch-Gordan coefficients for the quantum group Uq(2)", Proceedings - Mathematical Sciences, DOI: 10.1007/s12044-023-00762-2, vol. 133, no. 2, Dec. 2023. |
|
| dc.identifier.issn |
0253-4142 |
|
| dc.identifier.issn |
0973-7685 |
|
| dc.identifier.uri |
https://doi.org/10.1007/s12044-023-00762-2 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/9574 |
|
| dc.description.abstract |
We consider the compact quantum group Uq(2)for qEC\{0} with |q|≠1, and decompose the tensor product of two irreducible representations into irreducible components. The decomposition is realized in terms of a basis of homogeneous polynomials in four variables involving the matrix elements of the irreducible representations of Uq(2). Then, we compute the Clebsch–Gordan coefficients in terms of the q-hypergeometric series 3Φ2. When q is real, the Clebsch-Gordan coefficients are real and its expression can be written in terms of the q-Hahn polynomial. |
|
| dc.description.statementofresponsibility |
by Satyajit Guin and Bipul Saurabh |
|
| dc.format.extent |
vol. 133, no. 2 |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Springer |
|
| dc.subject |
Compact quantum group |
|
| dc.subject |
Quantum unitary group |
|
| dc.subject |
Clebsch-Gordan coefficients |
|
| dc.title |
On the Clebsch-Gordan coefficients for the quantum group Uq(2) |
|
| dc.type |
Article |
|
| dc.relation.journal |
Proceedings - Mathematical Sciences |
|