Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
著者
書誌事項
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
(Memoirs of the American Mathematical Society, no. 996)
American Mathematical Society, c2010
大学図書館所蔵 件 / 全14件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Volume 212, number 996 (first of 4 numbers)."
Includes bibliographical references (p. 131-133)
内容説明・目次
内容説明
The aim of this paper is to construct the derived nonhomogeneous Koszul duality. The author considers the derived categories of DG-modules, DG-comodules, and DG-contramodules, the coderived and contraderived categories of CDG-modules, the coderived category of CDG-comodules, and the contraderived category of CDG-contramodules. The equivalence between the latter two categories (the comodule-contramodule correspondence) is established. Nonhomogeneous Koszul duality or “triality” (an equivalence between exotic derived categories corresponding to Koszul dual (C)DG-algebra and CDG-coalgebra) is obtained in the conilpotent and nonconilpotent versions. Various A-infinity structures are considered, and a number of model category structures are described. Homogeneous Koszul duality and D-$\Omega$ duality are discussed in the appendices.
「Nielsen BookData」 より