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Abstract : 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]).
https://hal.archives-ouvertes.fr/hal-01710885 Contributor : Johan LerayConnect in order to contact the contributor Submitted on : Friday, February 16, 2018 - 2:49:54 PM Last modification on : Wednesday, November 3, 2021 - 6:05:18 AM Long-term archiving on: : Monday, May 7, 2018 - 12:47:37 PM