-tilting theory

From MaRDI portal
Publication:5415173

DOI10.1112/S0010437X13007422zbMath1330.16004arXiv1210.1036OpenAlexW4238915371WikidataQ105553932 ScholiaQ105553932MaRDI QIDQ5415173

Osamu Iyama, Takahide Adachi, Idun Reiten

Publication date: 12 May 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1036



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (only showing first 100 items - show all)

Silting and cosilting modules over trivial ring extensionsOn the derived category of quasi-hereditary algebras with two simple modulesOn tilting complexes over blocks covering cyclic blocksA reduction approach to silting objects for derived categories of hereditary categoriesGreen groupoids of 2-Calabi–Yau categories, derived Picard actions, and hyperplane arrangementsIntervals of s-torsion pairs in extriangulated categories with negative first extensionsA construction of Gorenstein projective $\tau $-tilting modulesNon-kissing complexes for gentle algebrasOn the combinatorics of the set of tilting modulesRelative torsion classes, relative tilting, and relative silting modulesTwo-term tilting complexes for preprojective algebras of non-Dynkin typeClassifying tilting modules over the Auslander algebras of radical square zero Nakayama algebrasRelative cluster tilting objects in triangulated categoriesτ-tilting modules over trivial extensionsThe wall-chamber structures of the real Grothendieck groupsOn cluster categories of weighted projective lines with at most three weightsCluster algebras arising from cluster tubes I: integer vectorsSilting modules over triangular matrix ringsOn band modules and \(\tau \)-tilting finitenessAn introduction to the lattice of torsion classesSilting reduction and Calabi–Yau reduction of triangulated categoriesRelative Oppermann-Thomas cluster tilting objects in \((n+2)\)-angulated categoriesA differential graded approach to the silting theoremClassifying torsion classes for algebras with radical square zero via sign decompositionOn support \(\tau\)-tilting graphs of gentle algebrasInduced modules of support \(\tau\)-tilting modules and extending modules of semibricks over blocks of finite groupsImage-extension-closed subcategories of module categories of hereditary algebrasA geometric model for the module category of a skew-gentle algebraPositive cluster complexes and τ-tilting simplicial complexes of cluster-tilted algebras of finite typeLattice theory of torsion classes: Beyond 𝜏-tilting theoryA symmetry of silting quiversMutating signed -exceptional sequencesStability conditions and maximal green sequences in abelian categoriesInjective cogenerators, cotilting modules and cosilting modulesSupport \(\tau\)-tilting subcategories in exact categoriesStability approach to torsion pairs on abelian categoriesOn indecomposable \(\tau\)-rigid modules for cluster-tilted algebras of tame typeRelative left Bongartz completions and their compatibility with mutationsA note on cosilting modules\(FP\)-cosilting and \(FP\)-cotilting modulesOn induced modules of inertial-invariant support \(\tau \)-tilting modules over blocks of finite groupsA generalization of silting modules and Tor-tilting modulesWeak orders on symmetric groups and posets of support τ-tilting modules\(n\)-term silting complexes in \(\mathsf{K}^b (\mathrm{proj}(\Lambda))\)The number of two-term tilting complexes over symmetric algebras with radical cube zeroRecollements and tilting modulesSupport $\tau $-tilting modules under split-by-nilpotent extensionsOn cluster-tilting objects in a triangulated category with Serre dualityDISTRIBUTIVE LATTICES OF TILTING MODULES AND SUPPORT τ-TILTING MODULES OVER PATH ALGEBRASDiscreteness of silting objects and t-structures in triangulated categoriesUniversal localizations via siltingSemibricks over split-by-nilpotent extensionsOn the Combinatorics of Gentle AlgebrasRecent Progress in Module Approximationsτ-Tilting finite cluster-tilted algebrasSupport τ-tilting modules over one-point extensionsRelative n-rigid objects in (n + 2)-angulated categoriesExtending silted algebras to cluster-tilted algebrasLattice structure of Weyl groups via representation theory of preprojective algebrasBook Review: Lecture notes on cluster algebrasA silting theoremThe classification of \(\tau\)-tilting modules over Nakayama algebrasTaking tilting modules from the poset of support tilting modules.Minimal length maximal Green sequences and triangulations of polygonsA survey on maximal green sequencesτ-Rigid modules from tilted to cluster-tilted algebrasCycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable ModulesA New Characterization of Hereditary AlgebrasQuantity vs. size in representation theoryCharacterizing 𝜏-tilting finite algebras with radical square zero𝜏-tilting theory in abelian categoriesCluster CharactersOn the abundance of silting modulesBONGARTZ τ-COMPLEMENTS OVER SPLIT-BY-NILPOTENT EXTENSIONSQuasi-cotilting modules and torsion-free classesTilting modules over Auslander algebras of Nakayama algebras with radical cube zeroSilting ObjectsStrong global dimensions of triangulated categories with respect to silting objectsA characterisation of 𝜏-tilting finite algebrasLifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categoriesReport on the finiteness of silting objectsLattice structure of torsion classes for path algebrasτ-Tilting modules over triangular matrix artin algebrasν-Stable τ-Tilting ModulesParametrizing torsion pairs in derived categoriesThe representation invariants of 2-term silting complexesBruhat inversions in Weyl groups and torsion-free classes over preprojective algebrasτ-Cluster morphism categories and picture groupsSupport τ-tilting modules and separating splitting tilting triplesDerived dimension via $\tau$-tilting theoryτ-Tilting modules over one-point extensions by a simple module at a source pointNon-kissing complexes and tau-tilting for gentle algebrasA 𝜏-tilting approach to the first Brauer-Thrall conjectureTilting modules for the Auslander algebra of K[x/(xn)] ⋮ Support $\tau $-tilting modules and recollementsA BRICK VERSION OF A THEOREM OF AUSLANDERMINIMAL (-)TILTING INFINITE ALGEBRASA note on the Hasse quiver of τ-tilting modulesOn mutation of τ-tilting modulesTilting modules arising from knot invariants



Cites Work


This page was built for publication: -tilting theory