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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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.