Corpus ID: 118394094

Quivers without loops admit global dimension 2

@article{Poettering2010QuiversWL,
  title={Quivers without loops admit global dimension 2},
  author={Nicolas Poettering},
  journal={arXiv: Representation Theory},
  year={2010}
}
  • Nicolas Poettering
  • Published 2010
  • Mathematics
  • arXiv: Representation Theory
  • Let $Q$ be a finite quiver without loops. Then there is an admissible ideal $I$ such that the algebra $kQ/I$ has global dimension at most two and is (strongly) quasi-hereditary. In addition some other (strongly) quasi-hereditary algebras $kQ/I'$ are constructed with bigger global dimension. 

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