Indecomposables with smaller cohomological length in the derived category of gentle algebras

DOI10.1007/s11425-017-9270-xzbMath1470.16017arXiv1609.04497OpenAlexW2963271838WikidataQ128896211 ScholiaQ128896211MaRDI QIDQ2423866

Chao Zhang

Publication date: 20 June 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04497

zbMATH Keywords

derived discrete algebrascohomological lengthgeneralized string (band)

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10) Derived categories, triangulated categories (18G80)

Cites Work

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• Brauer-Thrall type theorems for derived module categories
• The almost split triangles for perfect complexes over gentle algebras.
• On the indecomposable representations of algebras
• Indecomposables in derived categories of gentle algebras
• Indecomposables live in all smaller lengths
• Representation Theory of Artin Algebras II
• Indecomposables live in all smaller lengths
• UNBOUNDED DIMENSIONALITY OF INDECOMPOSABLE REPRESENTATIONS OF AN ALGEBRA WITH AN INFINITE NUMBER OF INDECOMPOSABLE REPRESENTATIONS
• The algebras with discrete derived category.

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