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.

Metadata

Item Type:	Article
Authors/Creators:	Guay, Nicolas Regelskis, Vidas https://orcid.org/0000-0002-0092-6917 Wendlandt, Curtis
Copyright, Publisher and Additional Information:	© 2016 AIP Publishing. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.
Dates:	Published: 26 April 2016 Accepted: 31 March 2016
Institution:	The University of York
Academic Units:	The University of York > Faculty of Sciences (York) > Mathematics (York)
Depositing User:	Pure (York)
Date Deposited:	14 Feb 2017 16:20
Last Modified:	18 Dec 2024 00:07
Published Version:	https://doi.org/10.1063/1.4947112
Status:	Published
Refereed:	Yes
Identification Number:	10.1063/1.4947112
Related URLs:	https://arxiv.org/abs/1602.01418
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:112397

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Twisted Yangians of small rank

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