ORBIFOLD SUBFACTORS FROM HECKE ALGEBRAS

被引：49

作者：

EVANS, DE ^{[1
]}

KAWAHIGASHI, Y ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 165卷 / 03期

关键词：

D O I：

10.1007/BF02099420

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply the notion of orbifold models of SU(N) solvable lattice models to the Hecke algebra subfactors of Wenzl and get a new series of subfactors. In order to distinguish our subfactors from those of Wenzl, we compute the principal graphs for both series of subfactors. An obstruction for flatness of connections arises in this orbifold procedure in the case N = 2 and this eliminates the possibility of the Dynkin diagrams D2n+1, but we show that no such obstructions arise in the case N = 3. Our tools are the paragroups of Ocneanu and solutions of Jimbo-Miwa-Okado to the Yang-Baxter equation.

引用

页码：445 / 484

页数：40

共 65 条

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