GENERALIZATION OF DRINFELD-QUANTUM-AFFINE-ALGEBRAS

Authors
Citation
Jt. Ding et K. Iohara, GENERALIZATION OF DRINFELD-QUANTUM-AFFINE-ALGEBRAS, letters in mathematical physics, 41(2), 1997, pp. 181-193
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
03779017
Volume
41
Issue
2
Year of publication
1997
Pages
181 - 193
Database
ISI
SICI code
0377-9017(1997)41:2<181:GOD>2.0.ZU;2-0
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 Letter, we will present a generalization of such a realization of quantum Hopf algebras. As a special case, we will choos e the structure functions for this algebra to be elliptic functions to derive certain elliptic quantum groups as a Hopf algebra, which degen erates into quantum affine algebras if we take certain degeneration of the structure functions.