The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))
The Drinfeld realization of the elliptic quantum group Bq,λ(A2(2))
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DOI：
10.1063/1.1767296
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发表时间：
2004-01
影响因子：
1.3
通讯作者：
T. Kojima;H. Konno
中科院分区：
文献类型：
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作者：
T. Kojima;H. Konno
构造了满足面型椭圆量子群Bq，λ（A2（2））的RLL关系的L-算子的一个实现.该构造基于Uq（A2（2））的Drinfeld电流的椭圆模拟，其形成椭圆代数Uq，p（A2（2））。我们给出了椭圆流E（z），F（z）和K（z）作为Uq（A2（2））的Drinfeld流和Heisenberg代数的张量积的实现.在第一层表象中，我们也给出了椭圆流的自由场实现。应用这些结果，我们导出了Bq，λ（A2（2））-缠绕算子的Uq，p（A2（2））-模拟的自由场实现.所得算子与稀疏AL模型中的顶点算子一致，这是已知的A2（2）面模型的RSOS限制。
We construct a realization of the L-operator satisfying the RLL-relation of the face-type elliptic quantum group Bq,λ(A2(2)). The construction is based on the elliptic analog of the Drinfeld currents of Uq(A2(2)), which forms the elliptic algebra Uq,p(A2(2)). We give a realization of the elliptic currents E(z), F(z), and K(z) as a tensor product of the Drinfeld currents of Uq(A2(2)) and a Heisenberg algebra. In the level-one representation, we also give a free field realization of the elliptic currents. Applying these results, we derive a free field realization of the Uq,p(A2(2))-analog of the Bq,λ(A2(2))-intertwining operators. The resultant operators coincide with those of the vertex operators in the dilute AL model, which is known to be a RSOS restriction of the A2(2) face model.