Representations of twisted Yangians of types B, C, D: II
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2017
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| Acceso en línea: | |
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| _version_ | 1866916880126574592 |
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| author | Guay, Nicolas Regelskis, Vidas Wendlandt, Curtis |
| author_facet | Guay, Nicolas Regelskis, Vidas Wendlandt, Curtis |
| contents | We continue the study of finite-dimensional irreducible representations of twisted Yangians associated to symmetric pairs of types B, C and D, with focus on those of types BI, CII and DI. After establishing that, for all twisted Yangians of these types, the highest weight of such a module necessarily satisfies a certain set of relations, we classify the finite-dimensional irreducible representations of twisted Yangians for the pairs $(\mathfrak{so}_N,\mathfrak{so}_{N-2} \oplus \mathfrak{so}_2)$ and $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1708_00968 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Representations of twisted Yangians of types B, C, D: II Guay, Nicolas Regelskis, Vidas Wendlandt, Curtis Representation Theory Quantum Algebra We continue the study of finite-dimensional irreducible representations of twisted Yangians associated to symmetric pairs of types B, C and D, with focus on those of types BI, CII and DI. After establishing that, for all twisted Yangians of these types, the highest weight of such a module necessarily satisfies a certain set of relations, we classify the finite-dimensional irreducible representations of twisted Yangians for the pairs $(\mathfrak{so}_N,\mathfrak{so}_{N-2} \oplus \mathfrak{so}_2)$ and $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$. |
| title | Representations of twisted Yangians of types B, C, D: II |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/1708.00968 |