Compact Quantum Group Extensions of $USp_q(2n)$, $O_q(n)$ and $SO_q(2n)$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911679136137216 |
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| author | Giri, Manabendra |
| author_facet | Giri, Manabendra |
| contents | I introduce compact quantum group extensions associated with the $q$-deformations of the classical compact groups $USp(2n)$, $O(n,\mathbb{R})$ and $SO(2n,\mathbb{R})$. Motivated by the relationship between $SU_q(n)$ and $U_q(n)$, I study the problem of constructing compact quantum groups $Z_{q,n}$ extending the standard compact quantum groups $A_{q,n}\in\{ {USp_q(2n), O_q(N), SO_q(2n)}\}$ through an additional central unitary element. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11745 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Compact Quantum Group Extensions of $USp_q(2n)$, $O_q(n)$ and $SO_q(2n)$ Giri, Manabendra Operator Algebras Quantum Algebra I introduce compact quantum group extensions associated with the $q$-deformations of the classical compact groups $USp(2n)$, $O(n,\mathbb{R})$ and $SO(2n,\mathbb{R})$. Motivated by the relationship between $SU_q(n)$ and $U_q(n)$, I study the problem of constructing compact quantum groups $Z_{q,n}$ extending the standard compact quantum groups $A_{q,n}\in\{ {USp_q(2n), O_q(N), SO_q(2n)}\}$ through an additional central unitary element. |
| title | Compact Quantum Group Extensions of $USp_q(2n)$, $O_q(n)$ and $SO_q(2n)$ |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2605.11745 |