Endomorphism algebras of silting complexes

Lidia Angeleri Hügel; Marcelo Lanzilotta; Jifen Liu; Sonia Trepode

Endomorphism algebras of silting complexes

Representation Theory 2024-11-06 v1

Authors: Lidia Angeleri Hügel , Marcelo Lanzilotta , Jifen Liu , Sonia Trepode

Abstract

We consider endomorphism algebras of $n$ -term silting complexes in derived categories of hereditary algebras, and we show that the module category of such an endomorphism algebra has a separated $n$ -section. For $n=3$ we obtain a trisection in the sense of [2].

Keywords

silting complexes endomorphism algebras derived categories hereditary algebras module categories n-section

Cite

@article{arxiv.2411.02765,
  title  = {Endomorphism algebras of silting complexes},
  author = {Lidia Angeleri Hügel and Marcelo Lanzilotta and Jifen Liu and Sonia Trepode},
  journal= {arXiv preprint arXiv:2411.02765},
  year   = {2024}
}

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17 pages

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