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...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Monografie Matematyczne
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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