Cofree Hopf algebras
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...
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todo:paper_1631073X_v337_n3_p153_Loday2023-10-03T16:28:34Z Cofree Hopf algebras Loday, J.-L. Ronco, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1631073X_v337_n3_p153_Loday |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Loday, J.-L. Ronco, M. |
| spellingShingle |
Loday, J.-L. Ronco, M. Cofree Hopf algebras |
| author_facet |
Loday, J.-L. Ronco, M. |
| author_sort |
Loday, J.-L. |
| title |
Cofree Hopf algebras |
| title_short |
Cofree Hopf algebras |
| title_full |
Cofree Hopf algebras |
| title_fullStr |
Cofree Hopf algebras |
| title_full_unstemmed |
Cofree Hopf algebras |
| title_sort |
cofree hopf algebras |
| url |
http://hdl.handle.net/20.500.12110/paper_1631073X_v337_n3_p153_Loday |
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AT lodayjl cofreehopfalgebras AT roncom cofreehopfalgebras |
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1807315759836168192 |