Skip to Main content Skip to Navigation
Journal articles

LIE-RINEHART AND HOCHSCHILD COHOMOLOGY FOR ALGEBRAS OF DIFFERENTIAL OPERATORS

Abstract : Let (S, L) be a Lie-Rinehart algebra such that L is S-projective and let U be its universal enveloping algebra. In this paper we present a spectral sequence which converges to the Hochschild cohomology of U with values on a U-bimodule M and whose second page involves the Lie-Rinehart cohomology of the algebra and the Hochschild cohomology of S with values on M. After giving a convenient description of the involved algebraic structures we use the spectral sequence to compute explicitly the Hochschild cohomology of the algebra of differential operators tangent to a central arrangement of three lines.
Complete list of metadata

https://hal.uca.fr/hal-03446945
Contributor : Thierry Lambre Connect in order to contact the contributor
Submitted on : Wednesday, November 24, 2021 - 3:03:58 PM
Last modification on : Thursday, November 25, 2021 - 3:45:28 AM

File

Kordon_Lambre.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

Collections

Citation

Thierry Lambre, Francisco Kordon. LIE-RINEHART AND HOCHSCHILD COHOMOLOGY FOR ALGEBRAS OF DIFFERENTIAL OPERATORS. Journal of Pure and Applied Algebra, Elsevier, 2020, 225, ⟨10.1016/j.jpaa.2020.106456⟩. ⟨hal-03446945⟩

Share

Metrics

Record views

31

Files downloads

27