QUANTUM GROUP SYMMETRY OF PARTITION-FUNCTIONS OF IRF MODELS AND ITS APPLICATION TO JONES INDEX THEORY

被引:56
作者
HAYASHI, T
机构
[1] Department of Mathematics, School of Science, Nagoya University, Nagoya, 464, Chikusa-ku
关键词
D O I
10.1007/BF02099763
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For each Boltzmann weight of a face model, we associate two quantum groups (face algebras) which describe the dependence of the partition function on boundary value condition. Using these, we give a proof of (non-)flatness of A-D-E connections of A. Ocneanu, which is a crucial algebraic part of the classification of subfactors with Jones' index less than 4.
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页码:331 / 345
页数:15
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