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| HAL : hal-00750413, version 2 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (10-11-2012) | v2 (20-11-2012) |
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| The homotopy theory of bialgebras over pairs of operads (research memoir) |
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| Sinan Yalin 1 |
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| (09/11/2012) |
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| We endow the category of coalgebras over an operad in connective non-negatively graded chain complexes with a co fibrantly generated model category structure. Then, we prove our main result : the category of bialgebras over a pair of operads (P,Q) in distribution admits a co fibrantly generated model category structure inherited from those of the P-algebras and the Q -coalgebras. This is the fi rst result of this type for a bialgebras category. It allows to do classical homotopical algebra in various categories such as associative bialgebras, Lie bialgebras or Poisson bialgebras in connective non-negatively graded chain complexes. |
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| 1 : | Laboratoire de Mathématiques Paul Painlevé |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| Domaine | : | Mathématiques/Topologie algébrique |
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| operads – bialgebras category – homotopical algebra |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00750413, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00750413 | |
| oai:hal.archives-ouvertes.fr:hal-00750413 | |
| Contributeur : Sinan Yalin | |
| Soumis le : Lundi 19 Novembre 2012, 21:39:21 | |
| Dernière modification le : Mardi 4 Décembre 2012, 11:17:28 | |
