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

Abstract

We initiate a theory of highest weight representations for twisted Yangians of types B, C, D and we classify the finite-dimensional irreducible representations of twisted Yangians associated to symmetric pairs of types CI, DIII and BCD0.

55 pages, minor changes and corrections

References in corpus (2)

• Representations of twisted Yangians associated with skew Young diagrams
• Yangian symmetry of the Y=0 maximal giant graviton

Cited by in corpus (9)

• Spin Chain Overlaps and the Twisted Yangian
• Integrable Matrix Product States from boundary integrability
• Isomorphism between the $R$-matrix and Drinfeld presentations of Yangian in types $B$, $C$ and $D$
• Equivalences between three presentations of orthogonal and symplectic Yangians
• The $R$-matrix presentation for the Yangian of a simple Lie algebra
• Representations of twisted Yangians of types B, C, D: II
• Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains
• A Drinfeld type presentation of twisted Yangians
• Twisted super Yangians of type AIII and their representations