English

The preprojective algebra of a finite EI quiver

Representation Theory 2024-10-22 v1

Abstract

We define the preprojective algebra of a finite EI quiver. We prove that it is isomorphic to a centain tensor algebra. For a finite EI quiver of Cartan type, we prove that the corresponding preprojective algebra is isomorphic to the generalized preprojective algebra.

Keywords

Cite

@article{arxiv.2410.15390,
  title  = {The preprojective algebra of a finite EI quiver},
  author = {Dongdong Hu},
  journal= {arXiv preprint arXiv:2410.15390},
  year   = {2024}
}

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17 pages