Constructions of derived equivalences for algebras and rings
From MaRDI portal
Publication:1692655
DOI10.1007/s11464-016-0593-0zbMath1396.18010OpenAlexW2517723372MaRDI QIDQ1692655
Publication date: 10 January 2018
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-016-0593-0
tilting complexderived equivalencerecollementYoneda algebrastable equivalenceFrobenius-finite algebra
Endomorphism rings; matrix rings (16S50) Representations of associative Artinian rings (16G10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)
Related Items
Derived equivalences between generalized matrix algebras, \(n\)-dimensional Laplace transforms of occupation times for pre-exit diffusion processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reducing homological conjectures by \(n\)-recollements
- Homological theory of recollements of abelian categories
- A note on derived equivalences for \(\Phi\)-Green algebras
- Two-term tilting complexes over Brauer tree algebras
- Dominant dimensions, derived equivalences and tilting modules
- \(\mathcal D\)-split sequences and derived equivalences.
- Tilting mutation of weakly symmetric algebras and stable equivalence.
- Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)
- Finiteness of finitistic dimension is invariant under derived equivalences.
- The Coxeter polynomial for a one point extension algebra.
- Algebraic stratification in representation categories
- The Abelian defect group conjecture
- Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
- Tilting complexes, perpendicular categories and recollements of derived module categories of rings
- The derived equivalence classification of representation-finite selfinjective algebras
- Reduction techniques for homological conjectures
- Invariance and localization for cyclic homology of DG algebras
- One-point extensions and derived equivalence.
- On a lift of an individual stable equivalence to a standard derived equivalence for representation-finite self-injective algebras.
- Derived categories and stable equivalence
- An elementary construction of tilting complexes
- \(K\)-theory and derived equivalences
- Higher algebraic \(K\)-groups and \(\mathcal {D}\)-split sequences
- Representation theory. A homological algebra point of view.
- Classifying tilting complexes over preprojective algebras of Dynkin type
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- Derived equivalences in \(n\)-angulated categories
- Triangulated Categories
- Transfer of derived equivalences from subalgebras to endomorphism algebras
- Derived equivalences for Φ-Auslander-Yoneda algebras
- Derived equivalences from cohomological approximations and mutations of Φ-Yoneda algebras
- Derived Equivalences Between Subrings
- Good tilting modules and recollements of derived module categories
- Derived equivalences and stable equivalences of Morita type, I
- The stable equivalence for algebras of finite representation type
- The preprojective algebra of a tame hereditary artin algebra
- Morita Theory for Derived Categories
- TILTING COMPLEXES DEFINED BY IDEMPOTENTS
- Derived Equivalences As Derived Functors
- ON DERIVED EQUIVALENT COHERENT RINGS
- On derived equivalences of lines, rectangles and triangles
- Equivalences induced by infinitely generated tilting modules
- A construction of derived equivalent pairs of symmetric algebras
- Recollements of derived categories III: finitistic dimensions