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Shifted double Lie-Rinehart algebras

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]).
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https://hal.archives-ouvertes.fr/hal-01710885
Contributor : Johan Leray <>
Submitted on : Friday, February 16, 2018 - 2:49:54 PM
Last modification on : Monday, March 9, 2020 - 6:15:58 PM
Document(s) archivé(s) le : Monday, May 7, 2018 - 12:47:37 PM

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  • HAL Id : hal-01710885, version 1
  • ARXIV : 1802.05979

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

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