Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence.
Positselski, Leonid.
Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence. - 1st ed. - 1 online resource (146 pages) - Memoirs of the American Mathematical Society ; v.212 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- 1. Derived Category of DG-Modules -- 2. Derived Categories of DG-Comodules and DG-Contramodules -- 3. Coderived and Contraderived Categories of CDG-Modules -- 4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules -- 5. Comodule-Contramodule Correspondence -- 6. Koszul Duality: Conilpotent and Nonconilpotent Cases -- 7. A-Algebras and Curved A-Coalgebras -- 8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules -- 9. Model Categories of DG-Algebras and CDG-Coalgebras -- Appendix A. Homogeneous Koszul Duality -- Appendix B. D- Duality -- Bibliography.
9781470406134
Derived categories (Mathematics).
Triangulated categories.
Comodules.
Koszul algebras.
Electronic books.
QA169 -- .P67 2010eb
512.46
Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence. - 1st ed. - 1 online resource (146 pages) - Memoirs of the American Mathematical Society ; v.212 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- 1. Derived Category of DG-Modules -- 2. Derived Categories of DG-Comodules and DG-Contramodules -- 3. Coderived and Contraderived Categories of CDG-Modules -- 4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules -- 5. Comodule-Contramodule Correspondence -- 6. Koszul Duality: Conilpotent and Nonconilpotent Cases -- 7. A-Algebras and Curved A-Coalgebras -- 8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules -- 9. Model Categories of DG-Algebras and CDG-Coalgebras -- Appendix A. Homogeneous Koszul Duality -- Appendix B. D- Duality -- Bibliography.
9781470406134
Derived categories (Mathematics).
Triangulated categories.
Comodules.
Koszul algebras.
Electronic books.
QA169 -- .P67 2010eb
512.46