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A characterization of finite EI categories with hereditary category algebras

Liping Li Univ. Minnesota

Representation Theory Rings and Algebras mathscidoc:1702.30005

J. Algebra, 345, 213-241, 2011
In this paper we give an explicit algorithm to construct the ordinary quiver of a finite EI category for which the endomorphism groups of all objects have orders invertible in the field k. We classify all finite EI categories with hereditary category algebras, characterizing them as free EI categories (in a sense which we define) for which all endomorphism groups of objects have invertible orders. Some applications on the representation types of finite EI categories are derived.
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@inproceedings{liping2011a,
  title={A characterization of finite EI categories with hereditary category algebras},
  author={Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222102038839699485},
  booktitle={J. Algebra},
  volume={345},
  pages={213-241},
  year={2011},
}
Liping Li. A characterization of finite EI categories with hereditary category algebras. 2011. Vol. 345. In J. Algebra. pp.213-241. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222102038839699485.
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