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Generalization and Deformation of Drinfeld quantum affine algebras

Jintai Ding·Kenji Iohara
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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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Jintai Ding, Kenji Iohara. 1996-08-29. Generalization and Deformation of Drinfeld quantum affine algebras. https://arxiv.org/abs/q-alg/9608002

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