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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2509.24265 |
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| _version_ | 1866918150389366784 |
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| author | Chen, Jianmin Li, Zhenhua Zhu, Hongying |
| author_facet | Chen, Jianmin Li, Zhenhua Zhu, Hongying |
| contents | In this paper, we introduce quantum root vectors for the quantum queer superalgebra ${\boldsymbol U}_{\!{v}}({\mathfrak q_n})$ via a braid-group action, compute their complete commutation relations, and construct a PBW-type basis for the Lusztig integral form ${{\boldsymbol U}_{v,\mathcal{ Z}}}$. This yields an explicit presentation of ${{\boldsymbol U}_{v,\mathcal{ Z}}}$ and provides a way to understand the structure of the quantum queer superalgebra at roots of unity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24265 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum queer superalgebra and its integral form Chen, Jianmin Li, Zhenhua Zhu, Hongying Quantum Algebra In this paper, we introduce quantum root vectors for the quantum queer superalgebra ${\boldsymbol U}_{\!{v}}({\mathfrak q_n})$ via a braid-group action, compute their complete commutation relations, and construct a PBW-type basis for the Lusztig integral form ${{\boldsymbol U}_{v,\mathcal{ Z}}}$. This yields an explicit presentation of ${{\boldsymbol U}_{v,\mathcal{ Z}}}$ and provides a way to understand the structure of the quantum queer superalgebra at roots of unity. |
| title | Quantum queer superalgebra and its integral form |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2509.24265 |