Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices

被引：14
|
作者：
Kulish, P. P. [1 ]
Manojlovic, N. [2 ,3 ]
Nagy, Z. [2 ,3 ]
机构：
[1] St Petersberg Dept Steklov Math Inst, St Petersburg 191023, Russia
[2] Univ Algarve, FCT, Dept Matemat, PT-8005139 Faro, Portugal
[3] Univ Lisbon, Grp Fis Matemat, P-1699 Lisbon, Portugal
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 02期
关键词：
MODELS; ANALOG;
D O I：
10.1063/1.2873025
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centralizer of this action a quantum algebra (a quasitriangular Hopf algebra) U-q with a representation ring equivalent to the representation ring of the sl(2) Lie algebra. This algebra U-q is the symmetry algebra of the corresponding open spin chain. (C) 2008 American Institute of Physics.
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页数：9
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