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arXiv · 1607.04223

On the approximate periodicity of sequences attached to noncrystallographic root systems

Philipp Lampe
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Abstract

We study Fomin-Zelevinsky's mutation rule in the context of noncrystallographic root systems. In particular, we construct approximately periodic sequences of real numbers for the noncrystallographic root systems of rank 2 by adjusting the exchange relation for cluster algebras. Moreover, we describe matrix mutation classes for type H3 and H4.

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Philipp Lampe. 2016-07-14. On the approximate periodicity of sequences attached to noncrystallographic root systems. https://arxiv.org/abs/1607.04223

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