New twisted quantum current algebras

Details New twisted quantum current algebras New twisted quantum current algebras

1999-01-16

arxiv.org/abs/math/9901066v3

in Representations and Quantizations, China High Educ Press and Springer, 2000, pp263-274

Mathematics

Quantum Algebra

10 pages, Amslatex, revised version

Scientific paper

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.

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