Homological Algebra of Semimodules and Semicontramodules Semi-infinite Homological Algebra of Associative Algebraic Structures /

• Κύριος συγγραφέας: Positselski, Leonid (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2010.
• Σειρά: Monografie Matematyczne ; 70
• Θέματα: Mathematics.; Category theory (Mathematics).; Homological algebra.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Category Theory, Homological Algebra.; Global Analysis and Analysis on Manifolds.; Differential Geometry.

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...

Πίνακας περιεχομένων:

• 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.