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Hall algebras of extriangulated categories

Representation Theory 2021-08-04 v3 Category Theory Quantum Algebra Rings and Algebras

Abstract

Recently, Nakaoka and Palu introduced a notion of extriangulated categories. This is a unification of exact categories and triangulated categories. In this paper, we generalize the definitions of Hall algebras of exact categories and triangulated categories to extriangulated categories.

Keywords

Cite

@article{arxiv.2107.05883,
  title  = {Hall algebras of extriangulated categories},
  author = {Li Wang and Jiaqun Wei and Haicheng Zhang},
  journal= {arXiv preprint arXiv:2107.05883},
  year   = {2021}
}

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21 pages