1999/01/31 by Naihuan Jing
Mathematics · #math.QA #msc:17B
published as in Representations and Quantizations, China High Educ Press and Springer, 2000, pp263-274 · 10 pages, Amslatex, revised version
arxiv created 1999/07/27 · arxiv updated 2009/11/30
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.