Chinese Physics C > 1995, Vol. 19 > Issue(11): 1005-1011

Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising 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 intertwiner for tensor representations in different ordersis constructed with C-G coefficients.This intertwiner is shown to be the R -matrix for eight vertex Ising model.

References

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Zhang Jun, Yang Guangcan and Yan Hong. Two Dimensional Cyclic Representations of U _q(sl ₂)and 8-Vertex Ising Model[J]. Chinese Physics C, 1995, 19(11): 1005-1011.

Zhang Jun, Yang Guangcan and Yan Hong. Two Dimensional Cyclic Representations of U _q(sl ₂)and 8-Vertex Ising Model[J]. Chinese Physics C, 1995, 19(11): 1005-1011. 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

Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising 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:1995-11-15

Abstract:We give explicitly the 2-dimensional cyclic representations of quantum algebra U_q(sl₂)with central extension.The intertwiner for tensor representations in different ordersis constructed with C-G coefficients.This intertwiner is shown to be the R -matrix for eight vertex Ising model.