dc.creator | Jiménez Rodríguez, María José | es |
dc.creator | Real Jurado, Pedro | es |
dc.date.accessioned | 2021-09-15T08:05:49Z | |
dc.date.available | 2021-09-15T08:05:49Z | |
dc.date.issued | 2001 | |
dc.identifier.citation | Jiménez Rodríguez, M.J. y Real Jurado, P. (2001). “Coalgebra” Structures on 1-Homological Models for Commutative Differential Graded Algebras. En CASC 2001: 4th International Workshop on Computer Algebra in Scientific Computing (347-361), Konstanz, Germany: Springer. | |
dc.identifier.isbn | 978-3-642-62684-5 | es |
dc.identifier.uri | https://hdl.handle.net/11441/125773 | |
dc.description.abstract | In [3] “small” 1-homological model H of a commutative differential graded algebra is described. Homological Perturbation Theory (HPT) [7-9] provides an explicit description of an A∞-coalgebra structure (Δ1,Δ2,Δ3,...) of H. In this paper, we are mainly interested in the determination of the map Δ2 : H - H H ⊗ H as a first step in the study of this structure. Developing the techniques given in [20] (inversion theory), we get an important improvement in the computation of Δ2 with regard to the first formula given by HPT. In the case of purely quadratic algebras, we sketch a procedure for giving the complete Hopf algebra structure of its 1-homology. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia PB98-1621-C02-02 | es |
dc.description.sponsorship | Junta de Andalucía FQM-296 | es |
dc.format | application/pdf | es |
dc.format.extent | 15 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | CASC 2001: 4th International Workshop on Computer Algebra in Scientific Computing (2001), pp. 347-361. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hopf Algebra | es |
dc.subject | Homogeneous Element | es |
dc.subject | Polynomial Algebra | es |
dc.subject | Algebra Generator | es |
dc.subject | Homological Algebra | es |
dc.title | “Coalgebra” Structures on 1-Homological Models for Commutative Differential Graded Algebras | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | PB98-1621-C02-02 | es |
dc.relation.projectID | FQM-296 | es |
dc.relation.publisherversion | https://link.springer.com/chapter/10.1007/978-3-642-56666-0_26 | es |
dc.identifier.doi | 10.1007/978-3-642-56666-0_26 | es |
dc.publication.initialPage | 347 | es |
dc.publication.endPage | 361 | es |
dc.eventtitle | CASC 2001: 4th International Workshop on Computer Algebra in Scientific Computing | es |
dc.eventinstitution | Konstanz, Germany | es |
dc.relation.publicationplace | Berlin | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |
dc.contributor.funder | Junta de Andalucía | es |