On the theory of $q$-characters for quantum affine superalgebras of type $A$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910036367769600 |
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| author | Lee, Sin-Myung |
| author_facet | Lee, Sin-Myung |
| contents | We develop the theory of $q$-characters for quantum affine superalgebras of type $A$ in connection with deformed Cartan matrices. To achieve this, we establish a Khoroshkin-Tolstoy-type multiplicative formula of the universal $R$-matrix of the associated generalized quantum group, from which one can read off a 2-parameter deformation of Cartan matrices of super type $A$. We also propose a Frenkel-Mukhin-type algorithm for $q$-characters of finite-dimensional simple modules with integral highest $\ell$-weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the theory of $q$-characters for quantum affine superalgebras of type $A$ Lee, Sin-Myung Representation Theory Quantum Algebra We develop the theory of $q$-characters for quantum affine superalgebras of type $A$ in connection with deformed Cartan matrices. To achieve this, we establish a Khoroshkin-Tolstoy-type multiplicative formula of the universal $R$-matrix of the associated generalized quantum group, from which one can read off a 2-parameter deformation of Cartan matrices of super type $A$. We also propose a Frenkel-Mukhin-type algorithm for $q$-characters of finite-dimensional simple modules with integral highest $\ell$-weights. |
| title | On the theory of $q$-characters for quantum affine superalgebras of type $A$ |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2512.15897 |