Chinese Physics C > 1995, Vol. 19 > Issue(12): 1084-1089

2-Dimensional Cyclic Representations of U_q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model

Institute of Theoretical Physics,The Chinese Academy of Sciences, Beijing 100080

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Abstract：
We give explicitly the 2-dimensional cyclic representations of quantum algebra U _q(sl(2)) with central extension. The C-G rule and the C-G coefficients are calculated and the intertwiner for tensor representations in different orders is constructed with C-G coefficients. This intertwiner is shown to be the R-matrix for an eight vertex model that satisfies the free Fermion condition and therefore gives an integrable model.

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Zhang Jun, Yang Guangcan and Yan Hong. 2-Dimensional Cyclic Representations of U _q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model[J]. Chinese Physics C, 1995, 19(12): 1084-1089.

Zhang Jun, Yang Guangcan and Yan Hong. 2-Dimensional Cyclic Representations of U _q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model[J]. Chinese Physics C, 1995, 19(12): 1084-1089. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

2-Dimensional Cyclic Representations of U_q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model

Corresponding author:Zhang Jun,

Institute of Theoretical Physics,The Chinese Academy of Sciences, Beijing 100080

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1995-12-05

Abstract:We give explicitly the 2-dimensional cyclic representations of quantum algebra U_q(sl(2)) with central extension. The C-G rule and the C-G coefficients are calculated and the intertwiner for tensor representations in different orders is constructed with C-G coefficients. This intertwiner is shown to be the R-matrix for an eight vertex model that satisfies the free Fermion condition and therefore gives an integrable model.