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

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.

36 pages, 8 figures

References in corpus (5)

• Calabi-Yau algebras
• A categorical and diagrammatical approach to Temperley-Lieb algebras
• Hochschild and cyclic (co)homology of preprojective algebras of quivers of type T
• The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers
• Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants