THE E(7) COMMUTING SQUARES PRODUCE D(10) AS PRINCIPAL GRAPH

被引：12

作者：

EVANS, DE

KAWAHIGASHI, Y

机构：

[1] UNIV COLL SWANSEA,DEPT MATH & COMP SCI,SWANSEA SA2 8PP,W GLAM,WALES

[2] UNIV TOKYO,DEPT MATH SCI,TOKYO 113,JAPAN

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1994年 / 30卷 / 01期

关键词：

D O I：

10.2977/prims/1195166280

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the (two) connections, or commuting squares, on the Coxeter-Dynkin diagram E7 produce a subfactor with principal graph D10. This was conjectured by J.-B. Zuber in connection with modular invariants in conformal field theory, and solve the last case of computing the flat parts of the connections on Coxeter-Dynkin diagrams with index less than 4.

引用

页码：151 / 166

页数：16

共 47 条

[1] 8-VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN-TYPE IDENTITIES [J].