Twisted Yangians of small rank

Abstract

We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small. We establish isomorphisms between these twisted Yangians and the well known Olshanskii's twisted Yangians of types AI and AII, and also with the Molev-Ragoucy reflection algebras associated with symmetric pairs of type AIII. We also construct isomorphisms with twisted Yangians in Drinfeld's original presentation.

26 pages. Final version. Accepted to J. Math. Phys. arXiv admin note: text overlap with arXiv:1407.5247

References in corpus (3)

• Twisted Yangians for symmetric pairs of types B, C, D
• Drinfeld J Presentation of Twisted Yangians
• Isomorphism between two realizations of the Yangian Y(so_3)

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• Representations of twisted Yangians of types B, C, D: I
• Representations of twisted Yangians of types B, C, D: II
• Drinfeld J Presentation of Twisted Yangians
• How to fold a spin chain: Integrable boundaries of the Heisenberg XXX and Inozemtsev hyperbolic models