Recollements, Cohen-Macaulay Auslander algebras and Gorenstein projective conjecture
Representation Theory
2020-01-07 v1
Abstract
It is shown that a 4-recollement of derived categories of CM-finite algebras induces a 2-recollement of the corresponding Cohen-Macaulay Auslander algebras, which generalises the main theorem of Pan [S. Y. Pan, Derived equivalences for Cohen-Macaulay Auslander algebras, J. Pure Appl. Algebra 216 (2012), 355{363]. Moreover, both Auslander- Reiten conjecture and Gorenstein projective conjecture are shown invariant under 3 (or 4)-recollement of unbounded derived categories of algebras.
Keywords
Cite
@article{arxiv.2001.01163,
title = {Recollements, Cohen-Macaulay Auslander algebras and Gorenstein projective conjecture},
author = {Yongyun Qin},
journal= {arXiv preprint arXiv:2001.01163},
year = {2020}
}