2013/12/31 by Osamu Iyama, Idun Reiten, Hugh Thomas +1 · 1 citation
Mathematics · #math.RT #msc:16G20 #msc:18E40 #msc:05E10
paper · pdf · doi:10.1112/blms/bdv041
10 pages. Minor errors are corrected, and references are updated in the second version
arxiv created 2015/03/04 · arxiv updated 2017/05/17
We consider module categories of path algebras of connected acyclic quivers. It is shown in this paper that the set of functorially finite torsion classes form a lattice if and only if the quiver is either Dynkin quiver of type A, D, E, or the quiver has exactly two vertices.