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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 040, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.040 (Mi sigma1021) 		 
This article is cited in 1 scientific paper (total in 1 paper)

From Twisted Quantum Loop Algebras to Twisted Yangians

Patrick Connera, Nicolas Guayb

a Science Department, Red Deer College, Red Deer, Alberta T4N 5H5, Canada
b Department of Mathematical and Statistical Sciences, University of Alberta, CAB 632, Edmonton, Alberta T6G 2G1, Canada
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DOI: https://doi.org/10.3842/SIGMA.2015.040
Abstract: We prove how the Yangian of $\mathfrak{gl}_N$ in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues.
Keywords: twisted Yangians; twisted quantum loop algebras; degeneration; RTT-presentation.
Received: January 30, 2015; in final form May 1, 2015; Published online May 14, 2015
Bibliographic databases:
Document Type: Article
MSC: 17B37; 16T20; 81R50
Language: English
Citation: Patrick Conner, Nicolas Guay, “From Twisted Quantum Loop Algebras to Twisted Yangians”, SIGMA, 11 (2015), 040, 14 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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