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homological algebra of semimodules and semicontramodules: semi-infinite homological algebra of associative algebraic structures
Leonid Positselski
(Author)
·
Birkhauser
· Paperback
homological algebra of semimodules and semicontramodules: semi-infinite homological algebra of associative algebraic structures - Positselski, Leonid
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Synopsis "homological algebra of semimodules and semicontramodules: semi-infinite homological algebra of associative algebraic structures"
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.
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