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A-infinity algebras, modules and functor categories

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arxiv math/0510508 v3 pith:E3HZ27X4 submitted 2005-10-24 math.RT math.RA

Bernhard Keller This is my paper · ORCID
classification math.RTmath.RA
keywords a-infinitycategoriesconstructionalgebrasfunctormodulesalgebraapproach
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In this survey, we first present basic facts on A-infinity algebras and modules including their use in describing triangulated categories. Then we describe the Quillen model approach to A-infinity structures following K. Lefevre's thesis. Finally, starting from an idea of V. Lyubashenko's, we give a conceptual construction of A-infinity functor categories using a suitable closed monoidal category of cocategories. In particular, this yields a natural construction of the bialgebra structure on the bar construction of the Hochschild complex of an associative algebra.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Statistical Mechanics and Categorical Entropy

    cond-mat.stat-mech 2025-05 reject novelty 4.0 of 10

    The paper claims algebraic integrality of lattice entropy growth, but the proof has a critical gap, and the categorical entropy link is left as a conjecture.

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