Symmetric recollements induced by bimodule extensions
Representation Theory
2011-01-21 v1
Abstract
nspired by the work of Jrgensen [J], we define a (upper-, lower-) symmetric recollements; and give a one-one correspondence between the equivalent classes of the upper-symmetric recollements and one of the lower-symmetric recollements, of a triangulated category. Let with bimodule . We construct an upper-symmetric abelian category recollement of -mod; and a symmetric triangulated category recollement of if and are Gorenstein and and are projective.
Cite
@article{arxiv.1101.3871,
title = {Symmetric recollements induced by bimodule extensions},
author = {Pu Zhang},
journal= {arXiv preprint arXiv:1101.3871},
year = {2011}
}
Comments
13 pages