Chinese Physics C > 2001, Vol. 25 > Issue(7): 628-635

Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group

Institute of Modern Physics, Northwest University, Xi'an 710069, China

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Abstract：
The algebra of the coefficients in the minimal representation of the An-1 quantum group, discussed by Felder and Varchenko, is given in this paper. Those coefficients are associated with the Boltzmann weights of A(1)n-1 interaction-round-a-face model. We show that the algebra satisfies the Yang-Baxter equation. The PBW base for this algebra is also given.

References

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SHI Kang-Jie, FAN Heng, YUE Rui-Hong, ZHAO Shao-You and HOU Bo-Yu. Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group[J]. Chinese Physics C, 2001, 25(7): 628-635.

SHI Kang-Jie, FAN Heng, YUE Rui-Hong, ZHAO Shao-You and HOU Bo-Yu. Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group[J]. Chinese Physics C, 2001, 25(7): 628-635. shu

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Received: 2000-06-12
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

Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group

Corresponding author:YUE Rui-Hong,

Institute of Modern Physics, Northwest University, Xi'an 710069, China

Received Date:2000-06-12
Accepted Date:1900-01-01
Available Online:2001-07-05

Abstract:The algebra of the coefficients in the minimal representation of the An-1 quantum group, discussed by Felder and Varchenko, is given in this paper. Those coefficients are associated with the Boltzmann weights of A(1)n-1 interaction-round-a-face model. We show that the algebra satisfies the Yang-Baxter equation. The PBW base for this algebra is also given.