Yoneda algebras and their singularity categories

DOI10.1112/plms.12441arXiv1902.09441OpenAlexW3000407848MaRDI QIDQ6051529

Norihiro Hanihara

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09441

zbMATH Keywords

tilting theorysingularity categoryYoneda algebrarealization functorYoneda category

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
• Noncommutative quadric surfaces
• On graded stable derived categories of isolated Gorenstein quotient singularities.
• Cluster tilting for higher Auslander algebras.
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Auslander correspondence.
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Matrix factorizations and representations of quivers. II: Type \(ADE\) case.
• Koszul duality
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Almost split sequences in subcategories
• Hereditary triangulated categories
• Realisation functors in tilting theory
• Chain complexes and stable categories
• Derived categories and stable equivalence
• Stable equivalence of dualizing R-varieties
• Relative homological algebra
• Singularity categories of Gorenstein monomial algebras
• Auslander correspondence for triangulated categories
• Singularity categories of derived categories of hereditary algebras are derived categories
• Tilting and cluster tilting for quotient singularities
• Quivers with relations for symmetrizable Cartan matrices. I: Foundations
• Stable categories of higher preprojective algebras.
• Realizing stable categories as derived categories
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• On triangulated orbit categories
• Ice quivers with potential associated with triangulations and Cohen-Macaulay modules over orders
• A categorification of Grassmannian cluster algebras
• Derived equivalences for Φ-Auslander-Yoneda algebras
• On two examples by Iyama and Yoshino
• TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Deriving DG categories
• Koszul Duality Patterns in Representation Theory
• TILTING COHEN–MACAULAY REPRESENTATIONS
• Happel's functor and homologically well-graded Iwanaga-Gorenstein algebras
• Tilting and Cluster Tilting for Preprojective Algebras and Coxeter Groups
• Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
• Reasonable triangulated categories have filtered enhancements
• Stable module theory
• Introduction to \(A\)-infinity algebras and modules

This page was built for publication: Yoneda algebras and their singularity categories