Generalizations of the relationship between quasi-hereditary algebras and directed bocses

Yuichiro Goto

Generalizations of the relationship between quasi-hereditary algebras and directed bocses

Representation Theory 2022-02-02 v1

Authors: Yuichiro Goto

Abstract

Koenig, K\"ulshammer and Ovsienko showed that Morita equivalence classes of quasi-hereditary algebras are in one-to-one correspondence with equivalence classes of the module categories over directed bocses. In this article, we extend this result to $\Delta$ -filtered algebras and $\overline{\Delta}$ -filtered algebras.

Keywords

quasi-hereditary algebras directed bocses morita equivalence delta-filtered algebras module categories

Cite

@article{arxiv.2202.00385,
  title  = {Generalizations of the relationship between quasi-hereditary algebras and directed bocses},
  author = {Yuichiro Goto},
  journal= {arXiv preprint arXiv:2202.00385},
  year   = {2022}
}

Comments

21 pages

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