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A note on flat noncommutative connections

2011/09/05 by Brzeziński, Tomasz
#58B34 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1109.0858

Abstract

It is proven that every flat connection or covariant derivative ∇ on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that ∇ is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.

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