Modules over operads and functors
The notion of an operad supplies both a conceptual and effective device to handle a variety of algebraic structures in various situations. Operads were introduced 40 years ago in algebraic topology in order to model the structure of iterated loop spaces. Since then, operads have been used fruitfully...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2009. |
| Edice: | Lecture Notes in Mathematics
1967 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Description d'apès consultation du 13 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Modules over operads and functors, Benoit Fresse, 2009, Berlin, Springer, 1 vol. (IX-308 p.), Lecture notes in mathematics, 978-3-540-89055-3 • Modules over Operads and Functors, Texte imprimé, 9783540891468 • Modules over operads and functors, Benoit Fresse, 2009, Berlin, Springer, 1 vol. (IX-308 p.), Lecture notes in mathematics, 978-3-540-89055-3 |
Obsah:
- Categorical and operadic background Symmetric monoidal categories for operads Symmetric objects and functors Operads and algebras in symmetric monoidal categories Miscellaneous structures associated to algebras over operads The category of right modules over operads and functors Definitions and basic constructions Tensor products Universal constructions on right modules over operads Adjunction and embedding properties Algebras in right modules over operads Miscellaneous examples Homotopical background Symmetric monoidal model categories for operads The homotopy of algebras over operads The (co)homology of algebras over operads The homotopy of modules over operads and functors The model category of right modules Modules and homotopy invariance of functors Extension and restriction functors and model structures Miscellaneous applications Appendix: technical verifications Shifted modules over operads and functors Shifted functors and pushout-products Applications of pushout-products of shifted functors.