Weyl group extension of quantized current algebras

Abstract

In this paper, we extend the Drinfeld current realization of quantum affine algebras $U_q(\hat{\gg })$ and of the Yangians in several directions: we construct current operators for non-simple roots of $\gg$, define a new braid group action in terms of the current operators and describe the universal R-matrix for the corresponding ``Drinfeld'' comultiplication in the form of infinite product and in the form of certain integrals over current operators.

LaTeX, 23pp