English

Recollements, comma categories and morphic enhancements

Rings and Algebras 2022-09-21 v1 Representation Theory

Abstract

For each recollement of triangulated categories, there is an epivalence between the middle category and the comma category associated to a triangle functor from the category on the right to the category on the left. For a morphic enhancement of a triangulated category T\mathcal{T}, there are three explicit ideals of the enhancing category, whose corresponding factor categories are all equivalent to the module category over T\mathcal{T}. Examples related to inflation categories and weighted projective lines are discussed.

Keywords

Cite

@article{arxiv.1905.10256,
  title  = {Recollements, comma categories and morphic enhancements},
  author = {Xiao-Wu Chen and Jue Le},
  journal= {arXiv preprint arXiv:1905.10256},
  year   = {2022}
}

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R2 v1 2026-06-23T09:22:27.386Z