The homotopy theory of bialgebras over pairs of operads (research memoir)

Abstract : 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.
Type de document :
Pré-publication, Document de travail
Research memoir, 48 pages. 2012


https://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
Document(s) archivé(s) le : jeudi 21 février 2013 - 11:45:48

Fichiers

The_homotopy_theory_of_bialgeb...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00750413, version 2

Collections

Citation

Sinan Yalin. The homotopy theory of bialgebras over pairs of operads (research memoir). Research memoir, 48 pages. 2012. <hal-00750413v2>

Exporter

Partager

Métriques

Consultations de
la notice

112

Téléchargements du document

43