The Nakayama Automorphism of the Almost Calabi-Yau Algebras Associated to SU(3) Modular Invariants

被引：11
作者：
Evans, David E. [1 ]
Pugh, Mathew [1 ]
机构：
[1] Cardiff Univ, Sch Math, Cardiff CF24 4AG, S Glam, Wales
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2012年 / 312卷 / 01期
关键词：
ALPHA-INDUCTION; PREPROJECTIVE ALGEBRAS; HOCHSCHILD COHOMOLOGY; Q-ANALOG; SUBFACTORS; CLASSIFICATION; GRAPHS; INDEX; NETS; REPRESENTATIONS;
D O I：
10.1007/s00220-011-1389-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We determine the Nakayama automorphism of the almost Calabi-Yau algebra A associated to the braided subfactors or nimrep graphs associated to each SU(3) modular invariant. We use this to determine a resolution of A as an A-A bimodule, which will yield a projective resolution of A.
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页码：179 / 222
页数：44
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