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Shifted double Lie-Rinehart algebras

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Johan Leray

We generalize the notions of shifted double Poisson and shifted double Lie-Rinehart structures 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:
Noncommutative geometry, Double Poisson algebra, Double Lie-Rinehart algebra

2020 MSC:
14A22, 18M85, 18M05

*Theory and Applications of Categories,*
Vol. 35, 2020,
No. 17, pp 594-621.

Published 2020-04-30.

http://www.tac.mta.ca/tac/volumes/35/17/35-17.pdf

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