From Twisted Quantum Loop Algebras to Twisted Yangians

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Conner, P., Guay, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147107
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From Twisted Quantum Loop Algebras to Twisted Yangians / P. Conner, N. Guay // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 32 назв. — англ.

We prove how the Yangian of glN 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.