Braided quantum SU(2) groups
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| _version_ | 1866917700946624512 |
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| author | Kasprzak, Paweł Meyer, Ralf Roy, Sutanu Woronowicz, Stanisław Lech |
| author_facet | Kasprzak, Paweł Meyer, Ralf Roy, Sutanu Woronowicz, Stanisław Lech |
| contents | We construct a family of q-deformations of SU(2) for complex parameters q not equal to 0. For real q, the deformation coincides with Woronowicz' compact quantum SU_q(2) group. For q not real, SU_q(2) is only a braided compact quantum group with respect to a certain tensor product functor for C*-algebras with an action of the circle group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1411_3218 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Braided quantum SU(2) groups Kasprzak, Paweł Meyer, Ralf Roy, Sutanu Woronowicz, Stanisław Lech Operator Algebras 81R50, 46L55, 46L06 We construct a family of q-deformations of SU(2) for complex parameters q not equal to 0. For real q, the deformation coincides with Woronowicz' compact quantum SU_q(2) group. For q not real, SU_q(2) is only a braided compact quantum group with respect to a certain tensor product functor for C*-algebras with an action of the circle group. |
| title | Braided quantum SU(2) groups |
| topic | Operator Algebras 81R50, 46L55, 46L06 |
| url | https://arxiv.org/abs/1411.3218 |