Artículo
Ronco, M. "A Milnor-Moore theorem for dendriform Hopf algebras " (2001) Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 332(2):109-114
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Abstract:
A dendriform Hopf algebra is a Hopf algebra, such that the product * is the sum of two operations ≺ and ≻, verifying certain conditions between them and with the coproduct Δ. The purpose of this Note is to announce a Milnor-Moore style theorem for these algebras. The role of Lie algebras is played by brace algebras, which are defined by n-ary operations (one for each n ≥ 2) satisfying some relations. We show that a dendriform Hopf algebra is isomorphic to the envelopping algebra of its brace algebra of primitive elements. One of the ingredients of the proof is the construction of Eulerian idempotents in this context. © 2000 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
Registro:
| Documento: | Artículo |
| Título: | A Milnor-Moore theorem for dendriform Hopf algebras |
| Autor: | Ronco, M. |
| Filiación: | Depto. V. Ciclo Basico Comun., Univ. de Buenos Aires, Pab. III. Ciudad Universitaria, (1428) Buenos Aires, Argentina |
| Año: | 2001 |
| Volumen: | 332 |
| Número: | 2 |
| Página de inicio: | 109 |
| Página de fin: | 114 |
| DOI: | http://dx.doi.org/10.1016/S0764-4442(00)01778-X |
| Título revista: | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Título revista abreviado: | C. R. Acad. Sci. Ser. I Math. |
| ISSN: | 07644442 |
| CODEN: | CASME |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07644442_v332_n2_p109_Ronco |
Referencias:
- Gerstenhaber, M., Shack, S., A Hodge-type decomposition for commutative algebra cohomology (1987) J. Pure Appl. Algebra, 48, pp. 229-247
- Gerstenhaber, M., The cohomology structure of an associative ring (1963) Annals of Math., 78 (2), pp. 267-288
- Getzler, E., Cartan homotopy formulas and the Gauss-Manin connection in cyclic homology (1993) Israel Math. Conf. Proc., 7, pp. 65-78
- Kadeishvili, T., The structure of the A(∞)-algebra, and the Hochschild and Harrison cohomologies (1988) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR, 91, pp. 19-27
- Loday, J.-L., Opérations sur l'homologie cyclique des algèbres commutatives (1989) Invent. Math., 96 (1), pp. 205-230
- Loday, J.-L., Dialgebras (1999) Prépublication de l'Inst. de Recherche Math. Avancée (Strasbourg), 14
- Milnor, J.W., Moore, J.C., On the structure of Hopf algebras (1965) Ann. Math., 81, pp. 211-264
- Ronco, M., Primitive elements in a free dendriform algebra Contemp. Math., , to appear
Citas:
---------- APA ----------
(2001) . A Milnor-Moore theorem for dendriform Hopf algebras . Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 332(2), 109-114.http://dx.doi.org/10.1016/S0764-4442(00)01778-X
---------- CHICAGO ----------
Ronco, M. "A Milnor-Moore theorem for dendriform Hopf algebras " . Comptes Rendus de l'Academie des Sciences - Series I: Mathematics 332, no. 2 (2001) : 109-114.http://dx.doi.org/10.1016/S0764-4442(00)01778-X
---------- MLA ----------
Ronco, M. "A Milnor-Moore theorem for dendriform Hopf algebras " . Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, vol. 332, no. 2, 2001, pp. 109-114.http://dx.doi.org/10.1016/S0764-4442(00)01778-X
---------- VANCOUVER ----------
Ronco, M. A Milnor-Moore theorem for dendriform Hopf algebras . C. R. Acad. Sci. Ser. I Math. 2001;332(2):109-114.http://dx.doi.org/10.1016/S0764-4442(00)01778-X
