From tilted to cluster-tilted algebras of Dynkin type
arXiv:math/0510445
Abstract
We show how a cluster-tilted algebra of finite representation type is related to the corresponding tilted algebra, in the case of algebras defined over an algebraically closed field.
9 pages
Cited by in corpus (8)
- Some Remarks Concerning Tilting Modules and Tilted Algebras. Origin. Relevance. Future. (An appendix to the Handbook of Tilting Theory)
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- Derived equivalence classification of the cluster-tilted algebras of Dynkin type E
- Constructing tilted algebras from cluster-tilted algebras
- Mutation of cluster-tilting objects and potentials
- On the Galois coverings of a cluster-tilted algebra
- On m-cluster tilted algebras and trivial extensions
- APR tilting modules and graded quivers with potential