On the homology of almost Calabi-Yau algebras associated to SU(3) modular invariants

JOURNAL OF ALGEBRA

卷:368

Article

Evans, David E.¹  Pugh, Mathew¹ 

[1] Cardiff Univ, Sch Math, Cardiff CF24 4AG, S Glam, Wales

关键词: Hochschild homology and cohomology;    Cyclic homology;    Almost Calabi-Yau algebras;    Braided subfactors;    Braided tensor category;    A(2)-Temperley-Lieb category;    SU(3) modular invariants;    Verlinde algebra and nimreps;    Nakayama automorphism;    Frobenius algebras;   

DOI  :  10.1016/j.jalgebra.2012.06.011

来源: Elsevier

【 摘 要 】

We compute the Hochschild homology and cohomology, and cyclic homology, of almost Calabi-Yau algebras for SU(3) AD epsilon graphs. These almost Calabi-Yau algebras are a higher rank analogue of the preprojective algebras for Dynkin diagrams, which are SU(2)-related constructions. The Hochschild (co)homology and cyclic homology of A can be regarded as invariants for the braided subfactors associated to the SU(3) modular invariants. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free