m-cluster tilted algebras of type

ABSTRACT

In this paper, we characterize all the finite dimensional algebras that are m-cluster tilted algebras of type $\widetilde{𝔸}$. We show that these algebras are gentle and we give an explicit description of their quivers with relations.

KEYWORDS:

• m-cluster tilted algebras
• gentle algebras

MATHEMATICS SUBJECT CLASSIFICATION:

• 17D99

Acknowledgments

The author gratefully thanks Ibrahim Assem for several interesting and helpful discussions. This paper is part of the author’s Ph.D. thesis, done under the direction of Ibrahim Assem, she gratefully acknowledges financial support from the Faculty of Sciences of the Université de Sherbrooke, and the Agencia Nacional de Investigación e Innovación of Uruguay.