2012/09/13 by Jie Zhang, Zhang, Jie
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1209.2788
24 pages, a conjecture which has been found wrong deleted, references and citations added
arxiv created 2012/09/19 · arxiv updated 2012/09/20
We give a characterization of indecomposable exceptional modules over finite dimensional gentle algebras. As an application, we study gentle algebras arising from an unpunctured surface and show that a class of indecomposable modules related to curves without selfintersections, as exceptional modules, are uniquely determined by their dimension vectors.