Gentle algebras arising from surface triangulations.
From MaRDI portal
Publication:969272
DOI10.2140/ant.2010.4.201zbMath1242.16011arXiv0903.3347OpenAlexW2964075781MaRDI QIDQ969272
Gabrielle Charbonneau-Jodoin, Ibrahim Assem, Thomas Brüstle, Pierre-Guy Plamondon
Publication date: 6 May 2010
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3347
Gorenstein algebrastriangulated surfacescluster-tilted algebrasgentle algebrasquivers with potentialbordered surfaces with marked points
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (92)
Derived invariants for surface algebras ⋮ Computation of extension spaces for the path algebra of type Ã(n - 1,1) using planar curves ⋮ \(m\)-cluster tilted algebras of Euclidean type ⋮ Torsion pairs and cosilting in type \(\tilde{A}\) ⋮ Noncommutative mirror symmetry for punctured surfaces ⋮ On a family of Caldero-Chapoton algebras that have the Laurent phenomenon ⋮ Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra ⋮ Multiserial and special multiserial algebras and their representations ⋮ Derived equivalences between skew-gentle algebras using orbifolds ⋮ On syzygies over 2-Calabi-Yau tilted algebras ⋮ A Geometric Model for the Module Category of a Gentle Algebra ⋮ The derived category of surface algebras: the case of the torus with one boundary component ⋮ Cluster-tilted and quasi-tilted algebras ⋮ The higher relation bimodule. ⋮ Hochschild cohomology: some applications in representation theory of algebras ⋮ Endomorphism algebras for a class of negative Calabi-Yau categories ⋮ Crossed products of Calabi-Yau algebras by finite groups ⋮ On band modules and \(\tau \)-tilting finiteness ⋮ Cluster expansion formulas and perfect matchings ⋮ On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras ⋮ Categorical webs and \(S\)-duality in 4d \({\mathcal {N}} = 2\) QFT ⋮ Classifying torsion classes for algebras with radical square zero via sign decomposition ⋮ Mapping cones in the bounded derived category of a gentle algebra ⋮ On support \(\tau\)-tilting graphs of gentle algebras ⋮ A geometric model for the module category of a skew-gentle algebra ⋮ Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type \(D\). ⋮ Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023 ⋮ Mutation of friezes ⋮ Gentle algebras arising from surfaces with orbifold points of order 3. I: Scattering diagrams ⋮ Algebras from surfaces without punctures ⋮ A geometric realization of silting theory for gentle algebras ⋮ Exponential networks and representations of quivers ⋮ Mini-workshop: Scattering amplitudes, cluster algebras, and positive geometries. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Quivers with potentials associated to triangulated surfaces. IV: Removing boundary assumptions. ⋮ The representation type of Jacobian algebras ⋮ Exceptional cycles for perfect complexes over gentle algebras ⋮ Cluster categories for marked surfaces: punctured case ⋮ Cotorsion pairs in the cluster category of a marked surface ⋮ Mutating seeds: types \(\mathbb{A}\) and \(\tilde{\mathbb{A}}\) ⋮ A complete derived invariant for gentle algebras via winding numbers and Arf invariants ⋮ Cohen–Macaulay Auslander algebras of skewed-gentle algebras ⋮ Representation theory of partial relation extensions ⋮ THE ALGEBRAS DERIVED EQUIVALENT TO GENTLE CLUSTER TILTED ALGEBRAS ⋮ Almost Gentle Algebras and their Trivial Extensions ⋮ From the potential to the first Hochschild cohomology group of a cluster tilted algebra ⋮ On Extensions for Gentle Algebras ⋮ A note on (co)homologies of algebras from unpunctured surfaces ⋮ m-cluster tilted algebras of type ⋮ Special multiserial algebras are quotients of symmetric special multiserial algebras ⋮ Derived class of m-cluster tilted algebras of type 𝔸̃ ⋮ Gentle m-Calabi-Yau tilted algebras ⋮ Desingularization of quiver Grassmannians for gentle algebras ⋮ Bases for cluster algebras from surfaces ⋮ A Module-Theoretic Interpretation of Schiffler's Expansion Formula ⋮ Special Biserial Cluster-Tilted Algebras ⋮ Extensions in Jacobian algebras and cluster categories of marked surfaces ⋮ On cluster algebras arising from unpunctured surfaces. II ⋮ On Indecomposable Exceptional Modules Over Gentle Algebras ⋮ Singularity categories of gentle algebras ⋮ Positivity for cluster algebras from surfaces ⋮ Derived equivalence of surface algebras in genus 0 via graded equivalence. ⋮ Hochschild cohomology and the derived class of \(m\)-cluster tilted algebras of type \(\mathbb A\). ⋮ Quivers of finite mutation type and skew-symmetric matrices ⋮ Special multiserial algebras, Brauer configuration algebras and more: A survey ⋮ On the first Hochschild cohomology group of a cluster-tilted algebra ⋮ Higher extensions for gentle algebras ⋮ Half-hypers and quivers ⋮ Monomial Gorenstein algebras and the stably Calabi-Yau property ⋮ Unistructurality of cluster algebras of type \(\widetilde{\mathbb{A}}\) ⋮ The first Hochschild cohomology group of a Schurian cluster-tilted algebra. ⋮ The geometric model of gentle one-cycle algebras ⋮ Non-kissing and non-crossing complexes for locally gentle algebras ⋮ Companion bases for cluster-tilted algebras ⋮ The Gerstenhaber bracket in Hochschild cohomology: Methods and examples ⋮ The cluster category of a surface with punctures via group actions ⋮ Trivial extensions of gentle algebras and Brauer graph algebras. ⋮ Cohen–Macaulay Auslander algebras of gentle 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 ⋮ Non-kissing versus non-crossing ⋮ Infinite rank surface cluster algebras ⋮ A Course on Cluster Tilted Algebras ⋮ Brauer Graph Algebras ⋮ Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃ ⋮ The Auslander–Reiten components of $\mathcal{K}^b({\rm proj}\, \Lambda)$ for a cluster-tilted algebra of type à ⋮ FRIEZES, STRINGS AND CLUSTER VARIABLES ⋮ Derived categories of gentle algebras and surface dissections ⋮ Cluster algebras and cluster categories associated with triangulated surfaces: an introduction ⋮ On the invariant theory for acyclic gentle algebras ⋮ Categorified canonical bases and framed BPS states ⋮ Cambrian combinatorics on quiver representations (type \(\mathbb{A})\)
This page was built for publication: Gentle algebras arising from surface triangulations.