Coideal subalgebras of quantum $SL_2$ at roots of unity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909530987692032 |
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| author | Shimizu, Kenichi Sugitani, Rei |
| author_facet | Shimizu, Kenichi Sugitani, Rei |
| contents | We classify right coideal subalgebras of the finite-dimensional quotient of the quantized enveloping algebra $U_q(\mathfrak{sl}_2)$ and that of the quantized coordinate algebra $\mathcal{O}_q(SL_2)$ at a root of unity $q$ of odd order. All those coideal subalgebras are described by generators and relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coideal subalgebras of quantum $SL_2$ at roots of unity Shimizu, Kenichi Sugitani, Rei Quantum Algebra Rings and Algebras We classify right coideal subalgebras of the finite-dimensional quotient of the quantized enveloping algebra $U_q(\mathfrak{sl}_2)$ and that of the quantized coordinate algebra $\mathcal{O}_q(SL_2)$ at a root of unity $q$ of odd order. All those coideal subalgebras are described by generators and relations. |
| title | Coideal subalgebras of quantum $SL_2$ at roots of unity |
| topic | Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2410.10064 |