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arXiv · 0904.4604

On minimal disjoint degenerations of modules over tame path algebras

Klaus Bongartz·Guido Frank·Isabel Wolters
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Abstract

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.

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Klaus Bongartz, Guido Frank, Isabel Wolters. 2009-04-29. On minimal disjoint degenerations of modules over tame path algebras. https://arxiv.org/abs/0904.4604

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