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On the homology of almost Calabi-Yau algebras associated to SU(3) modular invariants
Published 15 Nov 2011 in math.KT, hep-th, math.AG, math.OA, and math.QA | (1111.3585v1)
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 pre-projective 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.
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