On minimal disjoint degenerations of modules over tame path algebras

Klaus Bongartz; Guido Frank; Isabel Wolters

On minimal disjoint degenerations of modules over tame path algebras

Representation Theory 2009-04-30 v1 Algebraic Geometry

Authors: Klaus Bongartz , Guido Frank , Isabel Wolters

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.

Keywords

minimal disjoint degeneration tame path algebra quiver representation codimension Dynkin quiver Euclidean quiver wild quiver

Cite

@article{arxiv.0904.4604,
  title  = {On minimal disjoint degenerations of modules over tame path algebras},
  author = {Klaus Bongartz and Guido Frank and Isabel Wolters},
  journal= {arXiv preprint arXiv:0904.4604},
  year   = {2009}
}

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33 pages, 2 figures, 2 tables

On minimal disjoint degenerations of modules over tame path algebras

Abstract

Keywords

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