Induction for representations of coideal doubles, with an application to quantum $SL(2,\mathbb{R})$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913691938586624 |
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| author | De Commer, Kenny |
| author_facet | De Commer, Kenny |
| contents | We investigate the theory of induction in the setting of doubles of coideal $*$-subalgebras of compact quantum group Hopf $*$-algebras. We then exemplify parts of this theory in the particular case of quantum $SL(2,\mathbb{R})$, and compute the decomposition of the regular representation for quantum $SL(2,\mathbb{R})$ into irreducibles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18551 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Induction for representations of coideal doubles, with an application to quantum $SL(2,\mathbb{R})$ De Commer, Kenny Quantum Algebra Representation Theory We investigate the theory of induction in the setting of doubles of coideal $*$-subalgebras of compact quantum group Hopf $*$-algebras. We then exemplify parts of this theory in the particular case of quantum $SL(2,\mathbb{R})$, and compute the decomposition of the regular representation for quantum $SL(2,\mathbb{R})$ into irreducibles. |
| title | Induction for representations of coideal doubles, with an application to quantum $SL(2,\mathbb{R})$ |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2409.18551 |