Homological Algebra of Semimodules and Semicontramodules : Semi-infinite Homological Algebra of Associative Algebraic Structures
This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of Lie algebras and topological groups, the deriv...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2010. |
| Series: | Monografie Matematyczne
70 |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homological algebra of semimodules and semicontramodules, semi-infinite homological algebra of associative algebraic structures, Leonid Positselski, 2010, Boston (Mass.), Springer Basel AG, 1 volume (XXIV-349 pages), Monografie matematyczne, 978-3-0346-0435-2 • Homological Algebra of Semimodules and Semicontramodules, Texte imprimé, 9783034604376 • Homological Algebra of Semimodules and Semicontramodules, Texte imprimé, 9783034803137 |
Table des matières:
- Preface Introduction 0 Preliminaries and Summary 1 Semialgebras and Semitensor Product 2 Derived Functor SemiTor 3 Semicontramodules and Semihomomorphisms 4 Derived Functor SemiExt 5 Comodule-Contramodule Correspondence 6 Semimodule-Semicontramodule Correspondence 7 Functoriality in the Coring 8 Functoriality in the Semialgebra 9 Closed Model Category Structures 10 A Construction of Semialgebras 11 Relative Nonhomogeneous Koszul Duality Appendix A Contramodules over Coalgebras over Fields Appendix B Comparison with Arkhipov's Ext^{\infty/2+*} and Sevostyanov's Tor_{\infty/2+*} Appendix C Semialgebras Associated to Harish-Chandra Pairs Appendix D Tate Harish-Chandra Pairs and Tate Lie Algebras Appendix E Groups with Open Profinite Subgroups Appendix F Algebraic Groupoids with Closed Subgroupoids Bibliography Index