2018/01/15 by Fernández, Elsa, Elsener, Ana Garcia, Trepode, Sonia
#16G20 - 16G60 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1801.04989
We consider m-cluster tilted algebras arising from quivers of Euclidean type and we give necessary and sufficient conditions for those algebras to be representation finite. For the case \widetildeA, using the geometric realization, we get a description of representation finite type in terms of (m+2)-angulations. We establish which m-cluster tilted algebras arise at the same time from quivers of type A and \widetildeA. Finally, we characterize representation infinite m-cluster tilted algebras arising from a quiver of type \widetildeA as m-relations extensions of some iterated tilted algebra of type \widetildeA.