Twisted Yangians of small rank

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

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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.
Original languageEnglish
Article number041703
Number of pages28
JournalJournal of Mathematical Physics
Volume57
Issue number4
DOIs
Publication statusPublished - 26 Apr 2016

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