Supercanonical algebras.

DOI10.1016/j.jalgebra.2004.06.021zbMath1092.16007OpenAlexW4205934134MaRDI QIDQ1888815

Helmut Lenzing, José Antonio de la Peña

Publication date: 29 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.021

zbMATH Keywords

Hochschild cohomologyderived categoriesposetsrepresentations of algebrasAuslander-Reiten translationstame hereditary algebrasstable tubescanonical algebrasEuler formsCoxeter matricesconcealed-canonical algebrastubular algebrasone-parameter familiesseparating familiesquasitilted algebras of canonical typesupercanonical algebras

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Grothendieck groups (category-theoretic aspects) (18F30) (K_0) of other rings (19A49)

Related Items (4)

On the Mahler measure of the Coxeter polynomial of an algebra. ⋮ A Chebysheff recursion formula for Coxeter polynomials ⋮ Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators. ⋮ Algebras whose Coxeter polynomials are products of cyclotomic polynomials.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Directing projective modules
• Tame algebras and integral quadratic forms
• Quadratic forms and iterated tilted algebras
• Finite dimensional algebras with vanishing Hochschild cohomology
• Completely separating algebras
• Wild canonical algebras
• On the existence of postprojective components in the Auslander-Reiten quiver of an algebra
• Stable equivalence preserves representation type
• One-point extensions and derived equivalence.
• Sincere stable tubes
• Derived tame algebras and Euler-forms. With an appendix by Ch. Geiß and B. Keller
• The Dynkin type of a non-negative unit form.
• Quasi-tilted algebras of canonical type
• Indecomposable representations of graphs and algebras
• Derived tubular strongly simply connected algebras
• Concealed-Canonical Algebras and Separating Tubular Families
• Tilting in abelian categories and quasitilted algebras
• A characterization of hereditary categories with tilting object

This page was built for publication: Supercanonical algebras.