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arXiv · 1309.2567

Greedy bases in rank 2 generalized cluster algebras

Dylan Rupel
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Abstract

In this note we extend the notion of greedy bases developed by Lee, Li, and Zelevinsky to rank two generalized cluster algebras, i.e. binomial exchange relations are replaced by polynomial exchange relations. In the process we give a combinatorial construction in terms of a refined notion of compatible pairs on a maximal Dyck path.

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Dylan Rupel. 2013-09-10. Greedy bases in rank 2 generalized cluster algebras. https://arxiv.org/abs/1309.2567

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