On minimal disjoint degenerations of modules over tame path algebras

We study minimal disjoint degenerations for representations of tame quivers. In particular, we prove that their codimensions are bounded by 2. Therefore a quiver is Dynkin resp. Euclidean resp. wild iff the codimensions are 1 resp. bounded by 2 resp. unbounded. We explain also that for tame quivers...

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Veröffentlicht in:arXiv.org 2009-04
Hauptverfasser: Bongartz, Klaus, Frank, Guido, Wolters, Isabel
Format: Artikel
Sprache:eng
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Zusammenfassung:We study minimal disjoint degenerations for representations of tame quivers. In particular, we prove that their codimensions are bounded by 2. Therefore a quiver is Dynkin resp. Euclidean resp. wild iff the codimensions are 1 resp. bounded by 2 resp. unbounded. We explain also that for tame quivers the complete classification of all minimal disjoint degenerations is a finite problem that can be solved with the help of a computer.
ISSN:2331-8422