ON THE CONSTRUCTION OF TRIGONOMETRIC SOLUTIONS OF THE YANG-BAXTER EQUATION

被引:47
|
作者
DELIUS, GW [1 ]
GOULD, MD [1 ]
ZHANG, YZ [1 ]
机构
[1] UNIV QUEENSLAND,DEPT MATH,BRISBANE,QLD 4072,AUSTRALIA
关键词
D O I
10.1016/0550-3213(94)90607-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tenser product of two irreducible representations of a quantum algebra U-q(G). Our method is a generalization of the tenser product graph method to the case of two different representations. It yields the decomposition of the R-matrix into projection operators. Many new examples of trigonometric R-matrices (solutions to the spectral parameter dependent Yang-Baxter equation) are constructed using this approach.
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页码:377 / 403
页数:27
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