Universal Galois coverings of self-injective algebras by repetitive algebras and Hochschild cohomology

DOI10.1006/jabr.2001.8970zbMath1015.16011OpenAlexW2040820204WikidataQ122899323 ScholiaQ122899323MaRDI QIDQ1348671

Maria Julia Redondo

Publication date: 30 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8970

zbMATH Keywords

Hochschild cohomologyfundamental groupsGalois coveringsrepetitive algebrastruncated quiver algebrasSchurian algebrasself injective algebras

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20)

Related Items (3)

Embedding of the vertices of the Auslander-Reiten quiver of an iterated tilted algebra of Dynkin type \(\Delta\) in \(\mathbb{Z}\Delta\). ⋮ Coverings of laura algebras: the standard case. ⋮ Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner

Cites Work

• On the derived category of a finite-dimensional algebra
• The universal cover of a quiver with relations
• On the Abelian Galois coverings of an algebra
• Stable equivalence between universal covers of trivial extension self- injective algebras
• Galois coverings of representation-infinite algebras
• Selfinjective algebras of polynomial growth
• Selfinjective and simply connected algebras
• Covering spaces in representation-theory
• Blocks of tame representation type and related algebras
• Domestic trivial extensions of simply connected algebras
• The derived equivalence classification of representation-finite selfinjective algebras
• Self-injective algebras of wild tilted type
• Trivial Extensions of Tilted Algebras
• On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras
• Galois coverings of selfinjective algebras by repetitive algebras
• On selfinjective algebras of Euclidean type
• Socle Deformations of Self-Injective Algebras
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