By Leonid Positselski

The purpose of this paper is to build the derived nonhomogeneous Koszul duality. the writer considers the derived different types of DG-modules, DG-comodules, and DG-contramodules, the coderived and contraderived different types of CDG-modules, the coderived type of CDG-comodules, and the contraderived type of CDG-contramodules. The equivalence among the latter different types (the comodule-contramodule correspondence) is proven. Nonhomogeneous Koszul duality or "triality" (an equivalence among unique derived different types comparable to Koszul twin (C)DG-algebra and CDG-coalgebra) is got within the conilpotent and nonconilpotent models. a number of A-infinity buildings are thought of, and a few version classification constructions are defined. Homogeneous Koszul duality and D-$\Omega$ duality are mentioned within the appendices.

Show description

Read Online or Download Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence (Memoirs of the American Mathematical Society) PDF

Similar Algebra Trigonometry books

Theory of Sheaves

Thought of sheaves.

Matrix Theory: A Second Course (University Series in Mathematics)

Linear algebra and matrix idea are primarily synonymous phrases for a space of arithmetic that has develop into probably the most helpful and pervasive instruments in a variety of disciplines. it's also an issue of serious mathematical good looks. consequently of either one of those proof, linear algebra has more and more been introduced into reduce degrees of the curriculum, both along with the calculus or break free it yet on the related point.

Algebra and Trigonometry (4th Edition)

Beecher, Penna, and Bittinger’s Algebra and Trigonometry is understood for allowing scholars to “see the mathematics” via its specialise in visualization and early advent to services. With the Fourth variation, the authors proceed to innovate through incorporating extra ongoing overview to assist scholars strengthen their knowing and examine successfully.

Additional resources for Two Kinds of Derived Categories, Koszul Duality, and Comodule-Contramodule Correspondence (Memoirs of the American Mathematical Society)

Show sample text content

Rated 4.64 of 5 – based on 12 votes