New twisted quantum current algebras
量子代数
2007-05-23 v3
摘要
We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comultiplication. We obtain this algebra by considering its vertex representation. The vertex representation quantizes the twisted vertex operators of Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We also introduce a twisted quantum loop algebra for the Kac-Moody case and give its level one representation.
引用
@article{arxiv.math/9901066,
title = {New twisted quantum current algebras},
author = {Naihuan Jing},
journal= {arXiv preprint arXiv:math/9901066},
year = {2007}
}
备注
10 pages, Amslatex, revised version