The Grothendieck groups and stable equivalences of mesh algebras

DOI10.1007/s10468-017-9732-xzbMath1401.16005arXiv1505.06983OpenAlexW2503624846MaRDI QIDQ1653415

Sota Asai

Publication date: 3 August 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06983

zbMATH Keywords

Grothendieck groupstranslation quiversstable equivalencesmesh algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Grothendieck groups, (K)-theory, etc. (16E20) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items (2)

Cluster tilting modules for mesh algebras ⋮ \(d\)-representation-finite self-injective algebras

Cites Work

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• Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.
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• On the derived category of a finite-dimensional algebra
• Auslander correspondence.
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• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Derived equivalences for group rings
• Derived categories and stable equivalence
• The symmetry, period and Calabi-Yau dimension of finite dimensional mesh algebras.
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Combinatorics of Coxeter Groups
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Morita Theory for Derived Categories
• -tilting theory

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