Weyl group extension of quantized current algebras

Citation
J. Ding et S. Khoroshkin, Weyl group extension of quantized current algebras, TRANSFORM G, 5(1), 2000, pp. 35-59
Citations number
17
Categorie Soggetti
Mathematics
Journal title
TRANSFORMATION GROUPS
ISSN journal
10834362 → ACNP
Volume
5
Issue
1
Year of publication
2000
Pages
35 - 59
Database
ISI
SICI code
1083-4362(2000)5:1<35:WGEOQC>2.0.ZU;2-5
Abstract
In this paper, we extend Drinfeld's current realization of quantum affine a lgebras U-q((g) over cap) and of the Yangians in several directions: we con struct current operators for non-simple roots of g, define a new braid grou p action in terms of the current operators, and describe the universal R-ma trix for the corresponding "Drinfeld" comultiplication in the forms of an i nfinite product and of certain integrals over current operators.