1 results
Bounded Derived Categories of Infinite Quivers: Grothendieck Duality, Reflection Functor
-
- Journal:
- Canadian Journal of Mathematics / Volume 67 / Issue 1 / 01 February 2015
- Published online by Cambridge University Press:
- 20 November 2018, pp. 28-54
- Print publication:
- 01 February 2015
-
- Article
-
- You have access
- Export citation
-
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.
