Evans, David Emrys and Pugh, Mathew J. ![]() |
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2012.06.011
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 |
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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: | 04 Jul 2024 08:44 |
URI: | https://orca.cardiff.ac.uk/id/eprint/33341 |
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