Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation
Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation
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DOI：
10.1063/1.4905724
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发表时间：
2015-01
影响因子：
0.9
通讯作者：
Yung Gao;N. Hu;Honglian Zhang
中科院分区：
文献类型：
--
作者：
Yung Gao;N. Hu;Honglian Zhang
本文定义了G2（1）型双参数量子仿射代数，给出了Ur，s（G2（1））的（r，s）-Drinfeld实现，建立并证明了它的Drinfeld同构.我们构造并证明了两参数量子仿射代数Ur，s（G2（1））的一级顶点表示，这也证明了Hu和Zhang [Generating functions with τ-invariance and vertex representations of two-parameter quantum affine algebras Ur，s（g）：简单的花边案件电子打印arXiv：1401.4925]
In this paper, we define the two-parameter quantum affine algebra for type G2(1) and give the (r, s)-Drinfeld realization of Ur,s(G2(1)), as well as establish and prove its Drinfeld isomorphism. We construct and verify explicitly the level-one vertex representation of two-parameter quantum affine algebra Ur,s(G2(1)), which also supports an evidence in nontwisted type G2(1) for the uniform defining approach via the two-parameter τ-invariant generating functions proposed in Hu and Zhang [Generating functions with τ-invariance and vertex representations of two-parameter quantum affine algebras Ur,s(g): Simply laced cases e-print arXiv:1401.4925]