Homology, Homotopy and Applications
Volume 9 (2007)
Thick subcategories of the derived category of a hereditary algebra
Pages: 165 – 176
We classify thick subcategories of the bounded derived category of a hereditary abelian category $A$ in terms of subcategories of $A$. The proof can be applied to characterize the localizing subcategories of the full derived category of $A$. As an application we prove an algebraic analog of the telescope conjecture for the derived category of a representation finite hereditary artin algebra.
thick subcategory; hereditary; smashing conjecture; localizing subcategory; derived category
2010 Mathematics Subject Classification