Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914327623106560 |
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| author | Garcia, Gaston Andres Vallejos, Josefina |
| author_facet | Garcia, Gaston Andres Vallejos, Josefina |
| contents | We complete the classification of quantum subgroups of $SL_q(2)$ with $q$ a root of unity of arbitrary order, that is, Hopf algebra quotients of the quantum function algebras $\mathcal{O}_{q} (SL_2(\mathbb{C}))$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12366 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order Garcia, Gaston Andres Vallejos, Josefina Quantum Algebra Rings and Algebras 16T05, 16T20, 20G42 We complete the classification of quantum subgroups of $SL_q(2)$ with $q$ a root of unity of arbitrary order, that is, Hopf algebra quotients of the quantum function algebras $\mathcal{O}_{q} (SL_2(\mathbb{C}))$. |
| title | Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order |
| topic | Quantum Algebra Rings and Algebras 16T05, 16T20, 20G42 |
| url | https://arxiv.org/abs/2602.12366 |