On the Abelian Galois coverings of an algebra

DOI10.1016/0021-8693(86)90131-6zbMath0589.16024OpenAlexW1994351585MaRDI QIDQ1073887

José Antonio de la Peña

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90131-6

zbMATH Keywords

charactersfundamental grouppath algebrafinite dimensional algebraskew group algebrafinite abelian groupcategory of indecomposable projectivesuniversal Galois covering

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Graded rings and modules (associative rings and algebras) (16W50) Coverings in algebraic geometry (14E20) Representation theory of associative rings and algebras (16Gxx)

Related Items (11)

The classifying space of a bound quiver. ⋮ Universal Galois coverings of self-injective algebras by repetitive algebras and Hochschild cohomology ⋮ Derived tame quadratic string algebras ⋮ The fundamental groups of a triangular algebra ⋮ Quasitilted extensions of algebras I ⋮ Skew category, Galois covering and smash product of a 𝑘-category ⋮ HOCHSCHILD COHOMOLOGY AND FUNDAMENTAL GROUPS OF INCIDENCE ALGEBRAS ⋮ Cartan-Leray spectral sequence for Galois coverings of linear categories ⋮ Comparing the simplicial and the Hochschild cohomologies of a finite dimensional algebra ⋮ FUNDAMENTAL GROUPS AND PRESENTATIONS OF ALGEBRAS ⋮ Algebraic fundamental group and simplicial complexes.

Cites Work

• Skew group algebras in the representation theory of Artin algebras
• The universal cover of a quiver with relations
• Automorphisms of representation finite algebras
• The standard form of a representation-finite algebra
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