Multiserial and special multiserial algebras and their representations

DOI10.1016/j.aim.2016.07.006zbMath1394.16013arXiv1509.00215OpenAlexW2962757120MaRDI QIDQ317349

Sibylle Schroll, Edward Lee Green

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00215

zbMATH Keywords

symmetricbiserialBrauer configuration algebramultiserialradical cube zerospecial biserialspecial multiserial

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Representations of quivers and partially ordered sets (16G20) General module theory in associative algebras (16D10)

Related Items

Brauer configuration algebras: a generalization of Brauer graph algebras, Gerstenhaber structure on Hochschild cohomology of toupie algebras, The number of two-term tilting complexes over symmetric algebras with radical cube zero, On the representation dimension and finitistic dimension of special multiserial algebras, Almost Gentle Algebras and their Trivial Extensions, Special multiserial algebras are quotients of symmetric special multiserial algebras, Special multiserial algebras, Brauer configuration algebras and more: A survey, Brauer Graph Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of Brauer graph algebras and cluster mutations.
• Mutations and the derived Picard group of the Brauer star algebra
• Two-term tilting complexes over Brauer tree algebras
• Radical cube zero selfinjective algebras of finite complexity.
• Classification of two-term tilting complexes over Brauer graph algebras
• Radical cube zero weakly symmetric algebras and support varieties.
• Trivial extensions of gentle algebras and Brauer graph algebras.
• Maps between tree and band modules
• A criterion for finite representation type
• Resolutions over symmetric algebras with radical cube zero.
• Gentle algebras arising from surface triangulations.
• Tame biserial algebras
• Representation-finite algebras and multiplicative bases
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Group representations without groups
• Covering spaces in representation-theory
• Blocks of tame representation type and related algebras
• The indecomposable representations of the dihedral 2-groups
• The derived equivalence classification of representation-finite selfinjective algebras
• Maps between representations of zero-relation algebras
• Multiserial rings
• Brauer configuration algebras: a generalization of Brauer graph algebras
• On uniserial modules in the Auslander-Reiten quiver.
• Modular representations of p groups
• Indecomposable representations at characteristic \(p\)
• Silting mutation in triangulated categories
• Die strukturN-reihiger algebren
• Cluster-tilted algebras
• Free resolutions over short local rings
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Tilted Algebras
• On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras
• Singularity categories of gentle algebras
• On the invariant theory for acyclic gentle algebras
• -tilting theory
• Cluster-tilted algebras as trivial extensions
• INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP
• Koszul Resolutions
• Quivers with relations arising from clusters (𝐴_{𝑛} case)