Classical limits of quantum toroidal and affine Yangian algebras
Representation Theory
2019-02-12 v2
Abstract
In this short note, we compute the classical limits of the quantum toroidal and the affine Yangian algebras of sl(n) by generalizing our arguments for gl(1) from arXiv:1404.5240. These results were mentioned as motivation in the recent study of toroidal algebras by [Feigin-Jimbo-Miwa-Mukhin], while they played a crucial role in the recent paper arXiv:1512.09109 of the author and Bershtein. An alternative proof of our key isomorphisms for n>2 was first established by [Varagnolo-Vasserot]. We also discuss some consequences of these results.
Keywords
Cite
@article{arxiv.1605.01314,
title = {Classical limits of quantum toroidal and affine Yangian algebras},
author = {Alexander Tsymbaliuk},
journal= {arXiv preprint arXiv:1605.01314},
year = {2019}
}
Comments
v1: 10 pages; v2: 12 pages, minor corrections, some details added