4.4 Article

From quantum loop algebras to Yangians

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WILEY
DOI: 10.1112/jlms/jds021

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  1. Natural Sciences and Engineering Research Council of Canada
  2. University of Alberta
  3. Pacific Institute for the Mathematical Sciences

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The main purpose of this note is to give a proof of a statement of Drinfeld in ['Quantum groups', Proceedings of the International Congress of Mathematicians, Vols. 1, 2 (Berkeley, CA, 1986) (American Mathematical Society, Providence, RI, 1987) 798-820.] regarding Yangians and quantum loop algebras, namely how the former can be constructed as limit forms of the latter. We also apply the same ideas to twisted quantum loop algebras to recover the (non-twisted) Yangians.

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