Generalization and Deformation of Drinfeld quantum affine algebras
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.q-alg/9608002,
title = {Generalization and Deformation of Drinfeld quantum affine algebras},
author = {Jintai Ding and Kenji Iohara},
journal= {arXiv preprint arXiv:q-alg/9608002},
year = {2008}
}
Comments
12 pages, Amslatex. Minor changes and references are added