English

Symmetric subcategories, tilting modules and derived recollements

Representation Theory 2021-06-11 v1

Abstract

For any good tilting module TT over a ring AA, there exists an nn-symmetric subcategory E\mathscr{E} of a module category such that the derived category of the endomorphism ring of TT is a recollement of the derived categories of E\mathscr{E} and AA in the sense of Beilinson-Bernstein-Deligne. Thus the kernel of the total left-derived tensor functor induced by the tilting module is triangle equivalent to the derived category of E\mathscr{E}.

Keywords

Cite

@article{arxiv.2106.05514,
  title  = {Symmetric subcategories, tilting modules and derived recollements},
  author = {Hongxing Chen and Changchang Xi},
  journal= {arXiv preprint arXiv:2106.05514},
  year   = {2021}
}

Comments

23 pages

R2 v1 2026-06-24T03:02:30.889Z