English

Tame (hereditary) algebras of amenable representation type

Representation Theory 2020-12-16 v1

Abstract

We show that all finite dimensional, tame hereditary kk-algebras are of amenable representation type (in the sense of G. Elek) for all fields kk. The proof is adapted from our previous result for tame path algebras. Further, it is proven that this results extends to some tilted algebras, in particular tame concealed algebras are amenable.

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Cite

@article{arxiv.2012.08461,
  title  = {Tame (hereditary) algebras of amenable representation type},
  author = {Sebastian Eckert},
  journal= {arXiv preprint arXiv:2012.08461},
  year   = {2020}
}

Comments

17 pages, 1 figure