dorsal/arxiv
View SchemaIrreducible decomposition for tensor prodect representations of Jordanian quantum algebras
| Authors | N. Aizawa |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701022 |
| URL | https://arxiv.org/abs/q-alg/9701022 |
| DOI | 10.1088/0305-4470/30/17/009 |
| Journal | J. Phys. A:Math. Gen. 30 (1997) 5981-5992 |
Abstract
Tensor products of irreducible representations of the Jordanian quantum algebras U_h(sl(2)) and U_h(su(1,1)) are considered. For both the highest weight finite dimensional representations of U_h(sl(2)) and lowest weight infinite dimensional ones of U_h(su(1,1)), it is shown that tensor product representations are reducible and that the decomposition rules to irreducible representations are exactly the same as those of corresponding Lie algebras.
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"abstract": "Tensor products of irreducible representations of the Jordanian quantum\nalgebras U_h(sl(2)) and U_h(su(1,1)) are considered. For both the highest\nweight finite dimensional representations of U_h(sl(2)) and lowest weight\ninfinite dimensional ones of U_h(su(1,1)), it is shown that tensor product\nrepresentations are reducible and that the decomposition rules to irreducible\nrepresentations are exactly the same as those of corresponding Lie algebras.",
"arxiv_id": "q-alg/9701022",
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"N. Aizawa"
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"doi": "10.1088/0305-4470/30/17/009",
"journal_ref": "J. Phys. A:Math. Gen. 30 (1997) 5981-5992",
"title": "Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras",
"url": "https://arxiv.org/abs/q-alg/9701022"
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