Cartan matrices and Grothendieck groups of stable categories

DOI10.1016/0021-8693(91)90111-KzbMath0753.16004MaRDI QIDQ1180652

Takayoshi Wakamatsu, Hiroyuki Tachikawa

Publication date: 27 June 1992

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

zbMATH Keywords

Cartan matrixfinite dimensional algebrarepetitive algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Module categories in associative algebras (16D90) Grothendieck groups, (K)-theory, etc. (16E20)

Related Items

Structure of the stable Grothendieck group of a symmetric special biserial algebra., Locally finite triangulated categories., Chow groups of tensor triangulated categories, Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture., On abelian subcategories of triangulated categories, Homotopy invariants of singularity categories, Auslander-Reiten Triangles in Derived Categories of Finite-Dimensional Algebras, Relations for the Grothendieck groups of triangulated categories

Cites Work

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• On the derived category of a finite-dimensional algebra
• The Cartan map on categories of graded modules
• The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings
• Trivial Extensions of Tilted Algebras