Central elements and evaluation map for the quantum queer superalgebras
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911367780368384 |
|---|---|
| author | Liu, Ming Molev, Alexander Zhang, Jian |
| author_facet | Liu, Ming Molev, Alexander Zhang, Jian |
| contents | We consider the $R$-matrix presentations of the quantum queer superalgebra $U_q(q_n)$ and its affine counterpart $U_q(\widehat q_n)$. We derive crossing symmetry relations for the $R$-matrices and use them to construct central elements in both superalgebras. We also produce an epimorphism $ev:U_q(\widehat q_n)\to U_q(q_n)$ identical on the subalgebra isomorphic to $U_q(q_n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Central elements and evaluation map for the quantum queer superalgebras Liu, Ming Molev, Alexander Zhang, Jian Quantum Algebra Representation Theory We consider the $R$-matrix presentations of the quantum queer superalgebra $U_q(q_n)$ and its affine counterpart $U_q(\widehat q_n)$. We derive crossing symmetry relations for the $R$-matrices and use them to construct central elements in both superalgebras. We also produce an epimorphism $ev:U_q(\widehat q_n)\to U_q(q_n)$ identical on the subalgebra isomorphic to $U_q(q_n)$. |
| title | Central elements and evaluation map for the quantum queer superalgebras |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2512.06724 |