English

Loop realizations of quantum affine algebras

Representation Theory 2015-06-03 v2 Quantum Algebra

Abstract

We give a simplified description of quantum affine algebras in their loop presentation. This description is related to Drinfeld's new realization via halves of vertex operators. We also define an idempotent version of the quantum affine algebra which is suitable for categorification.

Keywords

Cite

@article{arxiv.1112.6188,
  title  = {Loop realizations of quantum affine algebras},
  author = {Sabin Cautis and Anthony Licata},
  journal= {arXiv preprint arXiv:1112.6188},
  year   = {2015}
}

Comments

19 pages

R2 v1 2026-06-21T19:57:48.299Z