dorsal/arxiv
View SchemaGeneralization and Deformation of Drinfeld quantum affine algebras
| Authors | Jintai Ding, Kenji Iohara |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608002 |
| URL | https://arxiv.org/abs/q-alg/9608002 |
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.
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"abstract": "Drinfeld gave a current realization of the quantum affine algebras as a Hopf\nalgebra with a simple comultiplication for the quantum current operators. In\nthis paper, we will present a generalization of such a realization of quantum\nHopf algebras. As a special case, we will choose the structure functions for\nthis algebra to be elliptic functions to derive certain elliptic quantum groups\nas a Hopf algebra, which degenerates into quantum affine algebras if we take\ncertain degeneration of the structure functions.",
"arxiv_id": "q-alg/9608002",
"authors": [
"Jintai Ding",
"Kenji Iohara"
],
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"title": "Generalization and Deformation of Drinfeld quantum affine algebras",
"url": "https://arxiv.org/abs/q-alg/9608002"
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