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arXiv · 1911.12042

Combinatorial model for m-cluster categories in type E

Bing Duan·Lisa Lamberti·Jian-Rong Li
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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 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.

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Bing Duan, Lisa Lamberti, Jian-Rong Li. 2019-11-27. Combinatorial model for m-cluster categories in type E. https://arxiv.org/abs/1911.12042

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