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
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
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页码:151 / 166
页数:16
相关论文
共 47 条
[41]  
Schou J.K., 1990, THESIS ODENSE U
[42]   INTEGRABLE MODELS THROUGH REPRESENTATIONS OF THE HECKE ALGEBRA [J].
SOCHEN, N .
NUCLEAR PHYSICS B, 1991, 360 (2-3) :613-640
[43]  
SUNDER VS, 1987, J OPERAT THEOR, V18, P289
[44]  
SUNDER VS, IN PRESS PAC J MATH
[45]   STATE SUM INVARIANTS OF 3-MANIFOLDS AND QUANTUM 6J-SYMBOLS [J].
TURAEV, VG ;
VIRO, OY .
TOPOLOGY, 1992, 31 (04) :865-902
[46]   GAUGE-THEORIES AND INTEGRABLE LATTICE MODELS [J].
WITTEN, E .
NUCLEAR PHYSICS B, 1989, 322 (03) :629-697
[47]  
Zuber J.-B., 1990, NUCL PHYS B, V18B, P313