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Metrics and pairs of left and right connections on bimodules

Metrics and pairs of left and right connections on bimodules

Properties of metrics and pairs consisting of left and right connections are studied on the bimodules of differential 1-forms. Those bimodules are obtained from the derivation based calculus of an algebra of matrix valued functions, and an SLq(2,C)-covariant calculus of the quantum plane at a generic q and the cubic …