Presentation
“Coalgebra” Structures on 1-Homological Models for Commutative Differential Graded Algebras
Author/s | Jiménez Rodríguez, María José
![]() ![]() ![]() ![]() ![]() ![]() ![]() Real Jurado, Pedro ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2001 |
Deposit Date | 2021-09-15 |
Published in |
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ISBN/ISSN | 978-3-642-62684-5 |
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 ... 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Project ID. | PB98-1621-C02-02
![]() FQM-296 ![]() |
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. |
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