Skip to content

Opening book details…

Can I read Friezes and a construction of the Euclidean cluster variables on EtoBox?

Friezes and a construction of the Euclidean cluster variables by Ibrahim Assem; Grégoire Dupont is a Mathematics article available to read on EtoBox.

What is Friezes and a construction of the Euclidean cluster variables about?

Let Q be a Euclidean quiver. Using friezes in the sense of Assem-Reutenauer-Smith, we provide an algorithm for computing the (canonical) cluster character associated with any object in the cluster category of Q . In particular, this algorithm allows us to compute all the cluster variables in the cluster algebra associated with Q . It also allows us to compute the sum of the Euler characteristics of the quiver Grassmannians of any module M over the path algebra of Q .

Who reads Friezes and a construction of the Euclidean cluster variables?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
Ibrahim Assem; Grégoire Dupont
Publisher
Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)
Published
2011
Language
EN
Field
Mathematics (Physical Sciences)