Ladders of recollements of abelian categories
Representation Theory
2020-01-13 v1 Category Theory
Rings and Algebras
Abstract
Ladders of recollements of abelian categories are introduced, and used to address three general problems. Ladders of a certain height allow to construct recollements of triangulated categories, involving derived categories and singularity categories, from abelian ones. Ladders also allow to tilt abelian recollements, and ladders guarantee that properties like Gorenstein projective or injective are preserved by some functors in abelian recollements. Breaking symmetry is crucial in developing this theory.
Keywords
Cite
@article{arxiv.2001.03474,
title = {Ladders of recollements of abelian categories},
author = {Nan Gao and Steffen Koenig and Chrysostomos Psaroudakis},
journal= {arXiv preprint arXiv:2001.03474},
year = {2020}
}
Comments
27 pages, comments are welcome