Artículo
Loday, J.-L.; Ronco, M. "Cofree Hopf algebras " (2003) Comptes Rendus Mathematique. 337(3):153-158
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Abstract:
We prove a structure theorem for the cofree Hopf algebras: such a Hopf algebra is the universal enveloping-dipterous algebra of its primitive part. A dipterous algebra is an associative algebra equipped with a structure of left module over itself. This theorem is a consequence of an analogue, in the non-cocommutative framework, of the Poincaré-Birkhoff-Witt theorem and of the Milnor-Moore theorem. © 2003 Académie des sciences. Publié par Éditions scientifiques et médicales Elsevier SAS. Tous droits réservés.
Registro:
| Documento: | Artículo |
| Título: | Cofree Hopf algebras |
| Autor: | Loday, J.-L.; Ronco, M. |
| Filiación: | Inst. de Rech. Mathematique Avancee, CNRS et Universite Louis Pasteur, 7 rue R. Descartes, 67084 Strasbourg Cedex, France Depto. de Mat. Ciclo Basico Comun, Universidad de Buenos Aires, Pab. 3 Ciudad Universitaria Nunez, 1428 Buenos-Aires, Argentina |
| Año: | 2003 |
| Volumen: | 337 |
| Número: | 3 |
| Página de inicio: | 153 |
| Página de fin: | 158 |
| DOI: | http://dx.doi.org/10.1016/S1631-073X(03)00288-7 |
| Título revista: | Comptes Rendus Mathematique |
| Título revista abreviado: | C. R. Math. |
| ISSN: | 1631073X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1631073X_v337_n3_p153_Loday |
Referencias:
- Gerstenhaber, M., Voronov, A.A., Homotopy G-algebras and moduli space operad (1995) Internat. Math. Res. Notices, 3, pp. 141-153
- Loday, J.-L., Dialgebras (2001) Dialgebras and Related Operads, pp. 7-66. , Lecture Notes in Math. 1763, Springer, Berlin
- Loday, J.-L., Scindement d'associativité et algèbres de Hopf (2002), Actes du Colloque en l'honneur de Jean Leray (Nantes,) à paraître; Loday, J.-L., Ronco, M., Hopf algebra of the planar binary trees (1998) Adv. Math., 139, pp. 293-309
- Loday, J.-L., Ronco, M., Trialgebras and families of polytopes (2002), Preprint, ArXiv math.AT/0205043; Milnor, J.W., Moore, J.C., On the structure of Hopf algebras (1965) Ann. of Math., 81 (2), pp. 211-264
- Pirashvili, T., Sets with two associative operations (2003) C.E.J.M., 2, pp. 169-183
- Quillen, D., Rational homotopy theory (1969) Ann. of Math., 90 (2), pp. 205-295
- Ronco, M., A Milnor-Moore theorem for dendriform Hopf algebras (2001) C. R. Acad. Sci. Paris, Ser. I, 332 (2), pp. 109-114
- Ronco, M., Eulerian idempotents and Milnor-Moore theorem for certain non-cocommutative Hopf algebras (2002) J. Algebra, 254 (1), pp. 152-172
- Voronov, A.A., Homotopy Gerstenhaber algebras (2000) Math. Phys. Stud., 22, pp. 307-331. , Conférence Moshé Flato, Dijon 1999 Vol. II Kluwer Academic, Dordrecht
Citas:
---------- APA ----------
Loday, J.-L. & Ronco, M. (2003) . Cofree Hopf algebras . Comptes Rendus Mathematique, 337(3), 153-158.http://dx.doi.org/10.1016/S1631-073X(03)00288-7
---------- CHICAGO ----------
Loday, J.-L., Ronco, M. "Cofree Hopf algebras " . Comptes Rendus Mathematique 337, no. 3 (2003) : 153-158.http://dx.doi.org/10.1016/S1631-073X(03)00288-7
---------- MLA ----------
Loday, J.-L., Ronco, M. "Cofree Hopf algebras " . Comptes Rendus Mathematique, vol. 337, no. 3, 2003, pp. 153-158.http://dx.doi.org/10.1016/S1631-073X(03)00288-7
---------- VANCOUVER ----------
Loday, J.-L., Ronco, M. Cofree Hopf algebras . C. R. Math. 2003;337(3):153-158.http://dx.doi.org/10.1016/S1631-073X(03)00288-7
