Premium
From quantum loop algebras to Yangians
Author(s) -
Guay N.,
Ma X.
Publication year - 2012
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jds021
Subject(s) - statement (logic) , quantum , limit (mathematics) , loop (graph theory) , pure mathematics , mathematics , algebra over a field , mathematical physics , theoretical physics , physics , quantum mechanics , law , political science , combinatorics , mathematical analysis
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.