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

Evans, David Emrys and Pugh, Mathew J. ORCID: 2012. On the homology of almost Calabi-Yau algebras associated to su(3) modular invariants. Journal of Algebra 368 , pp. 92-125. 10.1016/j.jalgebra.2012.06.011

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We compute the Hochschild homology and cohomology, and cyclic homology, of almost Calabi–Yau algebras for SU(3)ADE 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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Hochschild homology and cohomology; Cyclic homology; Almost Calabi–Yau algebras; Braided subfactors; Braided tensor category; A2-Temperley–Lieb category; SU(3) modular invariants; Verlinde algebra and nimreps; Nakayama automorphism; Frobenius algebras
Publisher: Elsevier
ISSN: 0021-8693
Date of First Compliant Deposit: 30 March 2016
Last Modified: 19 May 2023 19:32

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