Introduction to τ-tilting theory (Q2962236)

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Language	Label	Description	Also known as
English	Introduction to τ-tilting theory	scientific article

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scholarly article

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Introduction to τ-tilting theory (English)

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Proceedings of the National Academy of Sciences

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publication date

16 February 2017

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full work available at URL

https://arxiv.org/abs/1312.7678

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MaRDI profile type

MaRDI publication profile

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Tame algebras and integral quadratic forms

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COXETER FUNCTORS AND GABRIEL'S THEOREM

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Tilting theory and cluster combinatorics.

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Mutation in triangulated categories and rigid Cohen-Macaulay modules

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Noncrossing partitions and representations of quivers

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On a simplicial complex associated with tilting modules

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Schur modules over wild, finite-dimensional path algebras with three simple modules

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Almost split sequences in subcategories

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Tilting Modules and Torsion Theories

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Torsion Theories and Tilting Modules

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Torsion Theories Induced by Tilting Modules

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On a partial order of tilting modules.

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Tilting modules of finite projective dimension

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Complements to partial tilting modules

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Applications of contravariantly finite subcategories

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The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

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Morita Theory for Derived Categories

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Silting mutation in triangulated categories

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Cluster algebras I: Foundations

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Cluster algebras. II: Finite type classification

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On triangulated orbit categories

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Cluster-tilted algebras

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Clusters and seeds in acyclic cluster algebras

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Cluster algebras as Hall algebras of quiver representations.

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From triangulated categories to cluster algebras

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From triangulated categories to cluster algebras II

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Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras

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Cluster structures for 2-Calabi–Yau categories and unipotent groups

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Kac-Moody groups and cluster algebras

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Semicanonical bases and preprojective algebras II: A multiplication formula

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Cluster categories for algebras of global dimension 2 and quivers with potential.

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Cluster tilting for one-dimensional hypersurface singularities

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Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday

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Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.

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Reduction of τ-Tilting Modules and Torsion Pairs

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On \(t\)-structures and torsion theories induced by compact objects

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General presentations of algebras

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On the Combinatorics of Rigid Objects in 2-Calabi-Yau Categories

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Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type

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The classification of \(\tau\)-tilting modules over Nakayama algebras

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Cluster-tilted algebras are Gorenstein and stably Calabi-Yau

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Identifiers

zbMATH Open document ID

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10.1073/pnas.1313075111

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2962236

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