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Preprints, Working Papers, ... Year : 2018

Shifted double Lie-Rinehart algebras

Algèbres double Lie-Rinehart décalées


We generalize the notions of shifted double Poisson and shifted double Lie-Rinehart structures, defined by Van den Bergh in [VdB08a, VdB08b], to monoids in a symmetric monoidal abelian category. The main result is that an n-shifted double Lie-Rinehart structure on a pair (A, M) is equivalent to a non-shifted double Lie-Rinehart structure on the pair (A, M [−n]).
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hal-01710885 , version 1 (16-02-2018)



Johan Leray. Shifted double Lie-Rinehart algebras. 2018. ⟨hal-01710885⟩
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