PERIODIC AND FLAT IRREDUCIBLE REPRESENTATIONS OF SU(3)Q

被引:13
作者
ARNAUDON, D
机构
[1] Centre de Physique Théorique, Ecole Polytechnique, Palaiseau Cedex
关键词
D O I
10.1007/BF02098445
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We construct all the periodic irreducible representations of U(SU(3))q for q a m-root of unity. Their dimensions are k(2m)2 for k = 1,...,m (only k = 1,...,m/2 for even m). Their interest is that they could be a tool to generalize the chiral Potts model. By truncation of these representations, we construct "flat representations" of U(SU(3))q, in which all the multiplicities of the weights are set to 1.
引用
收藏
页码:523 / 537
页数:15
相关论文
共 5 条
[1]  
BAZHANOV VV, UNPUB J STAT PHYS
[2]  
BERNARD P, CEN SPHT89204 PREPR
[3]  
FURLAN P, QUANTUM GROUPS FUSIO
[4]   COMMON STRUCTURES BETWEEN FINITE SYSTEMS AND CONFORMAL FIELD-THEORIES THROUGH QUANTUM GROUPS [J].
PASQUIER, V ;
SALEUR, H .
NUCLEAR PHYSICS B, 1990, 330 (2-3) :523-556
[5]   IRREDUCIBLE REPRESENTATIONS OF THE QUANTUM ANALOG OF SU(2) [J].
ROCHE, P ;
ARNAUDON, D .
LETTERS IN MATHEMATICAL PHYSICS, 1989, 17 (04) :295-300