INTEGRABLE QUANTUM CHAIN AND THE REPRESENTATION OF QUANTUM GROUP SUq(2)

HOU BO-YU; SHI KANG-JIE; YANG ZHONG-XIA; YUE RUI-HONG

doi:10.7498/aps.41.201

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).
Authors and contacts
HOU BO-YU,

SHI KANG-JIE,

YANG ZHONG-XIA,

YUE RUI-HONG

1.
西北大学现代物理研究所,西安,710069
References

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

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