Twisted Yangians of small rank

Nicolas Guay; Vidas Regelskis; Curtis Wendlandt

doi:10.1063/1.4947112

Twisted Yangians of small rank

Nicolas Guay, Vidas Regelskis, Curtis Wendlandt

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6 Citations (Scopus)

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 language	English
Article number	041703
Number of pages	28
Journal	Journal of Mathematical Physics
Volume	57
Issue number	4
Early online date	26 Apr 2016
DOIs	https://doi.org/10.1063/1.4947112
Publication status	E-pub ahead of print - 26 Apr 2016

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Twisted Yangians of small rank

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