Representations of twisted Yangians of types B, C, D: II
| Autor: | Guay, Nicolas, Regelskis, Vidas, Wendlandt, Curtis |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00031-019-09514-x |
| Popis: | 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 $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$. Comment: 37 pages, to appear in Transformation Groups |
| Databáze: | arXiv |
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