Bing Duan, Lisa Lamberti, Jian-Rong Li
Published 2019-11-27Version 1
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 E_6,E_7,E_8. This provides a new compatibility description of semi--standard Young tableaux in Grassmannian cluster algebras in type E_6, E_8 and in a sub-cluster algebra of type E_7.
Braid group symmetries of Grassmannian cluster algebras
Perforated Tableaux: A Combinatorial Model for Crystal Graphs in Type $A_{n-1}$
Simple Procedures for Left and Right Keys of semi-standard Young tableaux
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