dc.creator | Kordon, Francisco | |
dc.creator | Lambre, Thierry | |
dc.date.accessioned | 2022-05-16T17:03:14Z | |
dc.date.accessioned | 2022-10-15T11:09:22Z | |
dc.date.available | 2022-05-16T17:03:14Z | |
dc.date.available | 2022-10-15T11:09:22Z | |
dc.date.created | 2022-05-16T17:03:14Z | |
dc.date.issued | 2021-01 | |
dc.identifier | Kordon, Francisco; Lambre, Thierry; Lie–Rinehart and Hochschild cohomology for algebras of differential operators; Elsevier Science; Journal of Pure and Applied Algebra; 225; 1; 1-2021; 1-28 | |
dc.identifier | 0022-4049 | |
dc.identifier | http://hdl.handle.net/11336/157638 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4379192 | |
dc.description.abstract | Let 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. | |
dc.language | eng | |
dc.publisher | Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0022404920301560 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2020.106456 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2006.01218 | |
dc.rights | https://creativecommons.org/licenses/by/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | HOCHSCHILD COHOMOLOGY | |
dc.subject | LIE-RINEHART ALGEBRAS | |
dc.subject | ALGEBRAS OF DIFFERENTIAL OPERATORS | |
dc.subject | HYPERPLANE ARRANGEMENTS | |
dc.title | Lie–Rinehart and Hochschild cohomology for algebras of differential operators | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |