Hall polynomials and composition algebra of representation finite algebras

DOI10.1007/s10468-013-9439-6zbMath1302.16008OpenAlexW1982393629MaRDI QIDQ458399

Alireza Nasr-Isfahani

Publication date: 7 October 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-013-9439-6

zbMATH Keywords

Hall polynomialsRingel-Hall algebrascomposition algebrasrepresentation finite algebrasdimension vectorscluster tilted algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items (3)

Bridgeland's Hall algebras of tilted algebras and Lusztig's symmetries ⋮ On derived Hall numbers for tame quivers ⋮ On Lie algebras associated with representation-finite algebras.

Cites Work

• Unnamed Item
• Hall polynomials for Nakayama algebras.
• Cluster-concealed algebras.
• Covering spaces in representation-theory
• Hall polynomials for the representation-finite hereditary algebras
• Hall algebras and quantum groups
• Lie algebras and coverings
• Universal PBW-bases of Hall-Ringel algebras and Hall polynomials
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Cluster-tilted algebras
• Composition Factors for Indecomposable Modules
• Short Chains and Short Cycles of Modules
• Module Categories Without Short Cycles Are of Finite Type

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