Algebraic operads
In many areas of mathematics some higher operations are arising. These have become so important that several research projects refer to such expressions. Higher operations form new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory...
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| Main Authors: | , |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2012. |
| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
346 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic operads, Jean-Louis Loday, Bruno Vallette, 2012, Heidelberg, Springer, 1 vol. (XXIV-634 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-30361-6 • Algebraic Operads, Texte imprimé, 9783642303630 • Algebraic Operads, Texte imprimé, 9783642448355 • Algebraic operads, Jean-Louis Loday, Bruno Vallette, 2012, Heidelberg, Springer, 1 vol. (XXIV-634 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-30361-6 |
Table of Contents:
- Preface 1.Algebras, coalgebras, homology 2.Twisting morphisms 3.Koszul duality for associative algebras 4.Methods to prove Koszulity of an algebra 5.Algebraic operad 6 Operadic homological algebra 7.Koszul duality of operads 8.Methods to prove Koszulity of an operad 9.The operads As and A\infty 10.Homotopy operadic algebras 11.Bar and cobar construction of an algebra over an operad 12.(Co)homology of algebras over an operad 13.Examples of algebraic operads Apendices: A.The symmetric group B.Categories C.Trees References Index List of Notation
- Preface
- 1.Algebras, coalgebras, homology
- 2.Twisting morphisms
- 3.Koszul duality for associative algebras
- 4.Methods to prove Koszulity of an algebra
- 5.Algebraic operad
- 6 Operadic homological algebra
- 7.Koszul duality of operads
- 8.Methods to prove Koszulity of an operad
- 9.The operads As and A\infty
- 10.Homotopy operadic algebras
- 11.Bar and cobar construction of an algebra over an operad
- 12.(Co)homology of algebras over an operad
- 13.Examples of algebraic operads
- Apendices: A.The symmetric group
- B.Categories
- C.Trees
- References
- Index
- List of Notation