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

Evans, David Emrys and Pugh, Mathew J. ORCID: https://orcid.org/0000-0001-9045-3713 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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Abstract

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:	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:	04 Jul 2024 08:44
URI:	https://orca.cardiff.ac.uk/id/eprint/33341

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