Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 9, Number 2 (2007), 165-176.
Thick subcategories of the derived category of a hereditary algebra
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.
Homology Homotopy Appl., Volume 9, Number 2 (2007), 165-176.
First available in Project Euclid: 23 January 2008
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Brüning, Kristian. Thick subcategories of the derived category of a hereditary algebra. Homology Homotopy Appl. 9 (2007), no. 2, 165--176. https://projecteuclid.org/euclid.hha/1201127336