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

2017/08/03 by Guay, Nicolas, Regelskis, Vidas, Wendlandt, Curtis
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1708.00968

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 (\mathfrakso_N,\mathfrakso_N-2 ⊕ \mathfrakso₂) and (\mathfrakso_2n+1,\mathfrakso_2n).

Related

• Yangians and their applications
• Representation Theory of the Twisted Yangians in Complex Rank
• Twisted Yangians of small rank
• New presentation of the twisted Yangian of type D
• Twisted Yangians of types BI, CI, DI and Drinfeld type current relations