Generalization and Deformation of Drinfeld quantum affine algebras
Abstract
Description
Drinfeld gave a current realization of the quantum affine algebras as a Hopf algebra with a simple comultiplication for the quantum current operators. In this paper, we will present a generalization of such a realization of quantum Hopf algebras. As a special case, we will choose the structure functions for this algebra to be elliptic functions to derive certain elliptic quantum groups as a Hopf algebra, which degenerates into quantum affine algebras if we take certain degeneration of the structure functions.
12 pages, Amslatex. Minor changes and references are added
12 pages, Amslatex. Minor changes and references are added