“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 15521  


Abstract:  
For every clustertilted algebra of simplylaced Dynkin type we
provide a companion basis which is strong, i.e., gives the set of dimension
vectors of the finitely generated indecomposable modules for the clustertilted
algebra. This shows in particular that every companion basis of a clustertilted
algebra of simplylaced Dynkin type is strong. Thus we give a proof of
Parsonsâs conjecture.
Download TeX format 

back to top 