Subcategories of the derived category and cotilting complexes

Aslak Bakke Buan. "Subcategories of the derived category and cotilting complexes." Colloquium Mathematicae 88.1 (2001): 1-11. <http://eudml.org/doc/284359>.

@article{AslakBakkeBuan2001,
abstract = {We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.},
author = {Aslak Bakke Buan},
journal = {Colloquium Mathematicae},
keywords = {categories of finitely generated modules; basic cotilting modules; Artin algebras; contravariantly finite subcategories; bounded derived categories; one-to-one correspondences; basic cotilting complexes; exceptional complexes},
language = {eng},
number = {1},
pages = {1-11},
title = {Subcategories of the derived category and cotilting complexes},
url = {http://eudml.org/doc/284359},
volume = {88},
year = {2001},
}

TY - JOUR
AU - Aslak Bakke Buan
TI - Subcategories of the derived category and cotilting complexes
JO - Colloquium Mathematicae
PY - 2001
VL - 88
IS - 1
SP - 1
EP - 11
AB - We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.
LA - eng
KW - categories of finitely generated modules; basic cotilting modules; Artin algebras; contravariantly finite subcategories; bounded derived categories; one-to-one correspondences; basic cotilting complexes; exceptional complexes
UR - http://eudml.org/doc/284359
ER -