Representations of twisted Yangians of types B, C, D: II

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

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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 $(\mathfrak{so}_{2n+1},\mathfrak{so}_{2n})$.
Original languageEnglish
Number of pages37
JournalTransformation Groups
Early online date23 Feb 2019
Publication statusE-pub ahead of print - 23 Feb 2019

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