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

Abstract

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 $({\mathfrak{so}}_{2n+1},{\mathfrak{so}}_{2n})$.

37 pages, to appear in Transformation Groups

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Cited by in corpus (4)

• Spin Chain Overlaps and the Twisted Yangian
• Representations of twisted Yangians of types B, C, D: II
• Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains
• Quiver varieties and symmetric pairs