Generalization of Drinfeld Quantum Affine Algebras
Generalization of Drinfeld Quantum Affine Algebras
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DOI：
10.1023/a:1007341410987
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发表时间：
1997-07
影响因子：
1.2
通讯作者：
Jintai Ding;K. Iohara
中科院分区：
文献类型：
--
作者：
Jintai Ding;K. Iohara
Drinfeld给出了量子仿射代数的一个当前实现，它是一个带有简单的量子电流算符的余积的Hopf代数。在这封信中，我们将给出量子Hopf代数的这种实现的推广。作为特例，我们将选择该代数的结构函数为椭圆函数，从而导出某些椭圆量子群作为Hopf代数，如果结构函数退化到一定程度，它将退化为量子仿射代数。
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 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.