Combinatorial model for m-cluster categories in type E
Abstract
We revisit the geometric description of cluster categories in type E in terms of colored diagonals in a polygon and generalize it to the case of m-cluster categories. As an application, we relate colored diagonals in a polygon to semi-standard Young tableaux, in type E6,E7,E8. This provides a new compatibility description of semi--standard Young tableaux in Grassmannian cluster algebras in type E6, E8 and in a sub-cluster algebra of type E7.
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