Cartan matrices of selfinjective algebras of tubular type

DOI10.2478/BF02475956zbMath1043.15006OpenAlexW2022225749MaRDI QIDQ1422625

Jerzy Białkowski

Publication date: 23 February 2004

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/bf02475956

zbMATH Keywords

group algebrasCartan matrixdeterminantGalois coveringscombinatorial invariantAuslander-Reiten quivertubular algebrarepetitive algebraselfinjective algebra

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Representations of quivers and partially ordered sets (16G20)

Related Items (2)

Computational details -- appendix to the article ``Cartan matrices of selfinjective algebras of tubular type ⋮ Cartan matrices of symmetric algebras having generalized standard stable tubes.

Cites Work

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• Polynomial growth trivial extensions of simply connected algebras
• Trivial Extensions of Tilted Algebras
• Roots of Nakayama and Auslander-Reiten translations
• Selfinjective algebras of tubular type

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