• 1
  • 1
  • 2
  • 6
  • 5
  • 6
  • 3
  • 4
IPM
30
YEARS OLD

“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 15521
School of Mathematics
  Title:   Strongness of companion bases for cluster-tilted algebras of finite type
  Author(s):  Alireza Nasr-Isfahani (Joint with K. Baur)
  Status:   Published
  Journal: Proc. Amer. Math. Soc.
  Vol.:  146
  Year:  2018
  Pages:   2409-2416
  Supported by:  IPM
  Abstract:
For every cluster-tilted algebra of simply-laced 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 cluster-tilted algebra. This shows in particular that every companion basis of a clustertilted algebra of simply-laced Dynkin type is strong. Thus we give a proof of Parsons’s conjecture.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right