Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups and complexification
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911940621631488 |
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| author | Lee, Heon Voigt, Christian |
| author_facet | Lee, Heon Voigt, Christian |
| contents | We study Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups. In particular, we show that the space of irreducible representations of the function algebras of their Drinfeld doubles is exhausted by the irreducible representations of weighted Fourier algebras associated to a certain family of central weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02132 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups and complexification Lee, Heon Voigt, Christian Operator Algebras Functional Analysis Quantum Algebra 46L67, 20G42 (Primary) 43A30 (Secondary) We study Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups. In particular, we show that the space of irreducible representations of the function algebras of their Drinfeld doubles is exhausted by the irreducible representations of weighted Fourier algebras associated to a certain family of central weights. |
| title | Beurling-Fourier algebras of $ q $-deformations of compact semisimple Lie groups and complexification |
| topic | Operator Algebras Functional Analysis Quantum Algebra 46L67, 20G42 (Primary) 43A30 (Secondary) |
| url | https://arxiv.org/abs/2407.02132 |