English

Shifted double Lie-Rinehart algebras

Rings and Algebras 2018-02-19 v1 Algebraic Geometry

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]).

Keywords

Cite

@article{arxiv.1802.05979,
  title  = {Shifted double Lie-Rinehart algebras},
  author = {Johan Leray},
  journal= {arXiv preprint arXiv:1802.05979},
  year   = {2018}
}