Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)

DOI10.1007/BF01166463zbMath0601.16022OpenAlexW94595170MaRDI QIDQ1080926

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183692

zbMATH Keywords

iterated tilted algebras Auslander-Reiten quivers hereditary algebra bound quivers representation-finite representation theory of biserial algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representation theory of associative rings and algebras (16Gxx)

Related Items

Which Canonical Algebras are Derived Equivalent to Incidence Algebras of Posets?, On support \(\tau\)-tilting graphs of gentle algebras, Backström algebras, Jordan recoverability of some subcategories of modules over gentle algebras, On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras, Complete gentle and special biserial algebras are \(g\)-tame, Homological dimensions of gentle algebras via geometric models, Celebrating Loday's associahedron, Irreducible morphisms in the bounded derived category via the category of complexes of fixed size, SHOD STRING ALGEBRAS, ON THE EXISTENCE OF A DERIVED EQUIVALENCE BETWEEN A KOSZUL ALGEBRA AND ITS YONEDA ALGEBRA, On Indecomposable Exceptional Modules Over Gentle Algebras, Kit algebras, The algebras with discrete derived category., Tame and wild projective curves and classification of vector bundles., On the first Hochschild cohomology group of a cluster-tilted algebra, Self-injective Artin algebras without short cycles in the component quiver., Piecewise hereditary incidence algebras of Dynkin and extended Dynkin type, String and band complexes over certain algebra of dihedral type, On the composite of two irreducible morphisms in radical cube., \(m\)-cluster tilted algebras of Euclidean type, Noncommutative mirror symmetry for punctured surfaces, The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra, Derived equivalence classification of Brauer graph algebras, Tilted Algebras of Type 𝔸˜_n, Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra, From iterated tilted algebras to cluster-tilted algebras., COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS, Derived tame quadratic string algebras, Derived equivalences between skew-gentle algebras using orbifolds, Skewed-gentle algebras are nodal, A Geometric Model for the Module Category of a Gentle Algebra, Selfinjective algebras of polynomial growth, Derived equivalence classification of symmetric algebras of domestic type, The role of gentle algebras in higher homological algebra, The higher relation bimodule., Endomorphism algebras for a class of negative Calabi-Yau categories, Cluster algebras arising from cluster tubes I: integer vectors, Derived equivalence classification of the gentle two-cycle algebras, Differential modules over quadratic monomial algebras, Semi-invariants of gentle algebras by deformation method and sphericity, Hochschild cohomology of triangular string algebras and its ring structure., The almost split triangles for perfect complexes over gentle algebras., Selfinjective algebras with hereditary stable slice, Mapping cones in the bounded derived category of a gentle algebra, Algebras from surfaces without punctures, Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras, Derived Hall algebras of one-cycle gentle algebras: the infinite global dimension case, A geometric realization of silting theory for gentle algebras, The representation type of Jacobian algebras, Exceptional cycles for perfect complexes over gentle algebras, On root categories of finite-dimensional algebras, Minimal representation-infinite coil algebras, On selfinjective Artin algebras having generalized standard quasitubes., A complete derived invariant for gentle algebras via winding numbers and Arf invariants, Exceptional sequences in the derived category of a gentle algebra, Cohen–Macaulay Auslander algebras of skewed-gentle algebras, Classification of discrete derived categories, Tilting on non-commutative rational projective curves, Tame generalized canonical algebras., The Ext-algebra of a representation-finite biserial algebra, Derived equivalence classification for cluster-tilted algebras of type \(A_n\)., Selfinjective biserial standard algebras, On the number of tame concealed convex subcategories in cycle-finite algebras, Weighted locally gentle quivers and Cartan matrices., Combinatorial derived invariants for gentle algebras., Topological invariants of piecewise hereditary algebras, On Extensions for Gentle Algebras, m-cluster tilted algebras of type, Derived class of m-cluster tilted algebras of type 𝔸̃, Flat surfaces and stability structures, Derived categories of graded gentle one-cycle algebras, Desingularization of quiver Grassmannians for gentle algebras, Tilted gentle algebras, Algebras with cycle-finite Galois coverings, LOCAL DUALITY FOR THE SINGULARITY CATEGORY OF A FINITE DIMENSIONAL GORENSTEIN ALGEBRA, Singularity categories of gentle algebras, On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras, A characterization of selfinjective algebras of strictly canonical type., Derived equivalence classification of \(m\)-cluster tilted algebras of type \(A_n\)., Indecomposables in Derived Categories of Skewed-Gentle Algebras, Singularity categories of Gorenstein monomial algebras, On weakly directing modules, Tilting sheaves for weighted projective lines of weight type \((p)\), Derived tame Nakayama algebras, On the derived categories and quasitilted algebras., Derived equivalences of gentle algebras via Fukaya categories, On non-homogeneous tubes and components of type \(\mathbb{Z}A_{\infty}\) in the bounded derived category, On tame repetitive categories of non-polynomial growth, The first Hochschild cohomology group of a Schurian cluster-tilted algebra., The geometric model of gentle one-cycle algebras, Cohen–Macaulay Auslander algebras of gentle algebras, Quadratic forms and iterated tilted algebras, Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras, Derived invariants for surface cut algebras of global dimension 2 II: the punctured case, \( \tau \)-tilting finite gentle algebras are representation-finite, Schemes of modules over gentle algebras and laminations of surfaces, On derived unique gentle algebras, A Course on Cluster Tilted Algebras, Algebras with cycle-finite derived categories, Low dimensional modules over quantum complete intersections in two variables, Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃, Small modules over quantum complete intersections in two variables, Algebras of acyclic cluster type: Tree type and typeÃ, Modules without self-extensions over gentle algebras, Minimal inclusions of torsion classes, Derived categories of gentle algebras and surface dissections, Derived tame local and two-point algebras., On Trivial Extensions of 2-Fundamental Algebras^#, Socle Deformations of Selfinjective Algebras of Euclidean Type, Tilted string algebras, On Auslander-Reiten components of string complexes for a certain class of symmetric special biserial algebras, Generically Trivial Derived Categories, The cohomology structure of string algebras., Cycle-Finite Module Categories, Simply connected tame quasi-tilted algebras

Cites Work