Geodesic
Bounded Derived Categories of Infinite Quivers: Grothendieck Duality, Reflection Functor
Canadian journal of mathematics, Tome 67 (2015) no. 1, pp. 28-54

Voir la notice de l'article provenant de la source Cambridge

DOI

We study bounded derived categories of the category of representations of infinite quivers over a ring $R$ . In case $R$ is a commutative noetherian ring with a dualising complex, we investigate an equivalence similar to Grothendieck duality for these categories, while a notion of dualising complex does not apply to them. The quivers we consider are left (resp. right) rooted quivers that are either noetherian or their opposite are noetherian. We also consider reflection functor and generalize a result of Happel to noetherian rings of finite global dimension, instead of fields.
DOI : 10.4153/CJM-2014-018-7
Mots-clés : 18E30, 16G20, 18E40, 16D90, 18A40, Derived Category, Grothendieck duality, representation of quivers, reflection functor 
Asadollahi, Javad; Hafezi, Rasool; Vahed, Razieh. Bounded Derived Categories of Infinite Quivers: Grothendieck Duality, Reflection Functor. Canadian journal of mathematics, Tome 67 (2015) no. 1, pp. 28-54. doi: 10.4153/CJM-2014-018-7
@article{10_4153_CJM_2014_018_7,
     author = {Asadollahi, Javad and Hafezi, Rasool and Vahed, Razieh},
     title = {Bounded {Derived} {Categories} of {Infinite} {Quivers:} {Grothendieck} {Duality,} {Reflection} {Functor}},
     journal = {Canadian journal of mathematics},
     pages = {28--54},
     year = {2015},
     volume = {67},
     number = {1},
     doi = {10.4153/CJM-2014-018-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-018-7/}
}
TY  - JOUR
AU  - Asadollahi, Javad
AU  - Hafezi, Rasool
AU  - Vahed, Razieh
TI  - Bounded Derived Categories of Infinite Quivers: Grothendieck Duality, Reflection Functor
JO  - Canadian journal of mathematics
PY  - 2015
SP  - 28
EP  - 54
VL  - 67
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-018-7/
DO  - 10.4153/CJM-2014-018-7
ID  - 10_4153_CJM_2014_018_7
ER  - 
%0 Journal Article
%A Asadollahi, Javad
%A Hafezi, Rasool
%A Vahed, Razieh
%T Bounded Derived Categories of Infinite Quivers: Grothendieck Duality, Reflection Functor
%J Canadian journal of mathematics
%D 2015
%P 28-54
%V 67
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-018-7/
%R 10.4153/CJM-2014-018-7
%F 10_4153_CJM_2014_018_7

Cité par Sources :