The Simplicial Complex of Tilting Modules over Quiver Algebras

DOI10.1112/plms/s3-73.1.27zbMath0861.16008OpenAlexW1963617296MaRDI QIDQ4892412

Luise Unger

Publication date: 19 May 1997

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

Full work available at URL: https://doi.org/10.1112/plms/s3-73.1.27

zbMATH Keywords

indecomposable direct summandstilting modulessimplicial complexespath algebrasrepresentation typesfinite connected quivers

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

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On the combinatorics of the set of tilting modules ⋮ BGP-reflection functors and cluster combinatorics. ⋮ Links of faithful partial tilting modules. ⋮ Extending Tilting Modules to One-Point Extensions by Projectives ⋮ On the quiver of tilting modules. ⋮ On cluster-tilting graphs for hereditary categories ⋮ Tilting theory and cluster combinatorics. ⋮ Generalized associahedra via quiver representations ⋮ Reconstruction of path algebras from their posets of tilting modules ⋮ Cluster complexes via semi-invariants ⋮ The cluster complex of an hereditary Artin algebra.