Eigenvalues of quantum Gelfand invariants
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910482575654912 |
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| author | Jing, Naihuan Liu, Ming Molev, Alexander |
| author_facet | Jing, Naihuan Liu, Ming Molev, Alexander |
| contents | We consider the quantum Gelfand invariants which first appeared in a landmark paper by Reshetikhin, Takhtadzhyan and Faddeev (1989). We calculate the eigenvalues of the invariants acting in irreducible highest weight representations of the quantized enveloping algebra for ${\mathfrak {gl}}_n$. The calculation is based on Liouville-type formulas relating two families of central elements in the quantum affine algebras of type $A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13815 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Eigenvalues of quantum Gelfand invariants Jing, Naihuan Liu, Ming Molev, Alexander Quantum Algebra Mathematical Physics Representation Theory We consider the quantum Gelfand invariants which first appeared in a landmark paper by Reshetikhin, Takhtadzhyan and Faddeev (1989). We calculate the eigenvalues of the invariants acting in irreducible highest weight representations of the quantized enveloping algebra for ${\mathfrak {gl}}_n$. The calculation is based on Liouville-type formulas relating two families of central elements in the quantum affine algebras of type $A$. |
| title | Eigenvalues of quantum Gelfand invariants |
| topic | Quantum Algebra Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2312.13815 |