0574181 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
Positselski, Leonid
Differential graded Koszul duality: An introductory survey.
Bulletin of the London Mathematical Society. Roč. 55, č. 4 (2023), s. 1551-1640. ISSN 0024-6093. E-ISSN 1469-2120
Grant CEP: GA ČR(CZ) GA20-13778S
Institucionální podpora: RVO:67985840
Klíčová slova: homotopy category * homological algebra * modules
Obor OECD: Pure mathematics
Impakt faktor: 0.8, rok: 2023
Způsob publikování: Open access
https://doi.org/10.1112/blms.12797

This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011), no. 996, vi+133. The paper is intended to serve as a pedagogical introduction and a summary of the covariant duality between DG-algebras and curved DG-coalgebras, as well as the triality between DG-modules, CDG-comodules, and CDG-contramodules. Some personal reminiscences are included as a part of historical discussion.
Trvalý link: https://hdl.handle.net/11104/0344528