On minimal disjoint degenerations of modules over tame path algebras

Details On minimal disjoint degenerations of modules over tame path algebras On minimal disjoint degenerations of modules over tame path algebras

2009-04-29

arxiv.org/abs/0904.4604v1

Mathematics

Representation Theory

33 pages, 2 figures, 2 tables

Scientific paper

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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