Journal ArticleOPEN ACCESS

Cluster-tilted algebras

  • Bakke Buan A
  • Marsh B
  • Reiten I
Transactions of the American Mathematical Society (2006) 359(1) 323-332
DOI: 10.1090/s0002-9947-06-03879-7
219Citations
Citations of this article
29Readers
Mendeley users who have this article in their library.

Abstract

We introduce a new class of algebras, which we call cluster-tilted. They are by definition the endomorphism algebras of tilting objects in a cluster category. We show that their representation theory is very close to the representation theory of hereditary algebras. As an application of this, we prove a generalised version of so-called APR-tilting.

Cite

CITATION STYLE

APA

Bakke Buan, A., Marsh, B. R., & Reiten, I. (2006). Cluster-tilted algebras. Transactions of the American Mathematical Society, 359(1), 323–332. https://doi.org/10.1090/s0002-9947-06-03879-7

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free