Positselski Homological Algebra of Semimodules and Semicontramodules
1. Auflage 2010
ISBN: 978-3-0346-0436-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Semi-infinite Homological Algebra of Associative Algebraic Structures
E-Book, Englisch, Band 70, 352 Seiten, eBook
Reihe: Monografie Matematyczne
ISBN: 978-3-0346-0436-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book provides comprehensive coverage on semi-infinite homology and cohomology of associative algebraic structures. It features rich representation-theoretic and algebro-geometric examples and applications.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
