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Abstract
We discuss the XXZ spin chain with certain boundary term and the representation of quantum group SUq(2). It is shown that Bethe Ansatz states are highest weight states of SUq(2), with q arbitrary We construct the irreducible representation of the quantum group. For q a rational root of unity, we show that there are new solutions to the BA equations, We derived the state vectors | b′> by taking certain limit, from which we construct the type I and type Ⅱ representations of SUq(2).
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HOU BO-YU,

SHI KANG-JIE,

YANG ZHONG-XIA,

YUE RUI-HONG

1.
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[8]	Li Jin-Hui, Zeng Gao-Jian.. Acta Physica Sinica, 1995, 44(3): 337-344.doi:10.7498/aps.44.337
[9]	Zhang De-Xing, Yu Zhao-Xian, Yu Ke.. Acta Physica Sinica, 1995, 44(7): 1009-1017.doi:10.7498/aps.44.1009
[10]	HAO SAN-RU.A STUDY OF SUq(2) COHERENT STATE BY MAKING USE OF q-DEFORMATION HARMONIC OSCILLATORS REALIZATION OF SUq(2) QUANTUM ALGEBRA. Acta Physica Sinica, 1993, 42(5): 691-698.doi:10.7498/aps.42.691
[11]	HOU BO-YU, HOU BO-YUAN, WANG PEI.THE COHOMOLOGY IN TRANSLATION GROUP AND KRONECKER MAPPING. Acta Physica Sinica, 1986, 35(6): 829-832.doi:10.7498/aps.35.829
[12]	CHEN JIN-QUAN, WANG FAN, GAO MEI-JUAN.PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (IV)——THE IRREDUCIBLE BASES OF SU_mn?SU_m×SU_nAND SU_m+n?SU_m?SU_n. Acta Physica Sinica, 1978, 27(2): 203-218.doi:10.7498/aps.27.203
[13]	CHEN JIN-QUAN, WANG FAN, GAO MEI-JUAN.PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SU_nGROUP. Acta Physica Sinica, 1978, 27(1): 31-40.doi:10.7498/aps.27.31
[14]	CHEN JIN-CHUAN, GAO MEI-JUAN, WANG FAN.PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (V)——THE IRREDUCIBLE BASES OF SU(3)?SO(3) AND SU(4)?SU(2)×SU(2). Acta Physica Sinica, 1978, 27(3): 237-246.doi:10.7498/aps.27.237
[15]	CHEN JIN-CHUAN, WANG FAN, GAO MEI-JUAN.PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (Ⅱ)——THE QUASI-STANDARD BASES OF PERMUTATION GROUP AND THE GELFAND BASES OF UNITARY GROUP. Acta Physica Sinica, 1977, 26(5): 427-432.doi:10.7498/aps.26.427
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[17]	CAO CHANG-QI.NOTE ON THE ELECTROMAGNETIC FORM FACTOR AND INTEGRAL REPRESENTATION OF THE WAVE FUNCTION IN THE STRATON MODEL. Acta Physica Sinica, 1976, 25(5): 423-432.doi:10.7498/aps.25.423
[18]	MA CHUNG-CHI, LIU LIAN-SOU, CHEN JI.ASSIGNMENTS OF THE BARYON RESONANCES IN S?(12) AND THEIR STRONG-DECAYS. Acta Physica Sinica, 1966, 22(5): 589-600.doi:10.7498/aps.22.589
[19]	.. Acta Physica Sinica, 1965, 21(8): 1578-1580.doi:10.7498/aps.21.1578
[20]	.. Acta Physica Sinica, 1964, 20(11): 1172-1175.doi:10.7498/aps.20.1172

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Vol. 41, Issue 2 - 1992-01-20

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