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arXiv · 1306.6120

Cluster algebras arising from the infinity-gon

Ndouné Ndouné
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Abstract

We introduce a handy construction of cluster algebras of type $\mathbb{A}_{\infty}$, we give a complete classification of the cluster algebras arising from the infinity-gon, and finally we construct the category of the diagonals of the infinity-gon and show that it is triangle-equivalent to the infinite cluster category of type $\mathbb{A}_{\infty}$ described by Holm and J{\o}rgensen.

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BibTeXRIS

Ndouné Ndouné. 2013-06-26. Cluster algebras arising from the infinity-gon. https://arxiv.org/abs/1306.6120

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