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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2204.02900 |
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| _version_ | 1866910482408931328 |
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| author | De Commer, Kenny Konings, Johan |
| author_facet | De Commer, Kenny Konings, Johan |
| contents | We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial $*$-algebraic quantum group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_02900 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups De Commer, Kenny Konings, Johan Quantum Algebra 81R50 We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial $*$-algebraic quantum group. |
| title | Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups |
| topic | Quantum Algebra 81R50 |
| url | https://arxiv.org/abs/2204.02900 |