Weighted surface algebras: general version

DOI10.1016/j.jalgebra.2019.10.020zbMath1481.16002arXiv1902.04063OpenAlexW2981681966WikidataQ126979763 ScholiaQ126979763MaRDI QIDQ2333378

Karin Erdmann, Andrzej Skowroński

Publication date: 12 November 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04063

zbMATH Keywords

syzygysymmetric algebraperiodic algebratame algebraself-injective algebrasurface algebra

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items

Socle equivalences of weighted surface algebras ⋮ Virtual mutations of weighted surface algebras ⋮ Bijections of silting complexes and derived Picard groups ⋮ Tame symmetric algebras of period four ⋮ Corrigendum to: ``Weighted surface algebras: general version ⋮ Higher spherical algebras ⋮ Two tilts of higher spherical algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodicity of self-injective algebras of polynomial growth
• Group algebras of polynomial growth
• Frobenius algebras. I: Basic representation theory.
• Tame algebras and integral quadratic forms
• The stable Calabi-Yau dimension of tame symmetric algebras.
• Periodic resolutions and self-injective algebras of finite type.
• Tame biserial algebras
• On Galois coverings of tame algebras
• On the representation type of locally bounded categories
• Galois coverings of representation-infinite algebras
• On the number of simple modules of certain tame blocks and algebras
• Selfinjective algebras of polynomial growth
• Blocks of tame representation type and related algebras
• Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type
• On degenerations of tame and wild algebras
• Weighted surface algebras
• Higher tetrahedral algebras
• Tameness of biserial algebras
• From Brauer graph algebras to biserial weighted surface algebras
• Cluster tilting for one-dimensional hypersurface singularities
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Polynomial growth trivial extensions of simply connected algebras
• On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras
• Tame minimal non-polynomial growth simply connected algebras
• The Hochschild cohomology ring of a selfinjective algebra of finite representation type
• Derived Equivalences As Derived Functors
• From groups to clusters