Auslander algebras and initial seeds for cluster algebras

DOI10.1112/jlms/jdm017zbMath1135.17007arXivmath/0506405OpenAlexW2088234701MaRDI QIDQ5308180

Bernard Leclerc, Christof Geiss, Jan Schröer

Publication date: 27 September 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506405

zbMATH Keywords

quantum groupquantized enveloping algebracluster algebrapreprojective algebraquantized function algebrarigid modulehigher Auslander algebradual semicanonical basis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Grothendieck groups, (K)-theory, etc. (16E20) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Special varieties (14M99) Representations of quivers and partially ordered sets (16G20) Quantum groups (quantized function algebras) and their representations (20G42)

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