On the approximate periodicity of sequences attached to noncrystallographic root systems

2016/07/14 by Philipp Lampe, Lampe, Philipp
Mathematics · #13F60 #Dynamical Systems (math.DS) #FOS: Mathematics #Representation Theory (math.RT) #math.DS #math.RT #msc:13F60

paper · pdf · doi:10.48550/arxiv.1607.04223

10 pages

arxiv created 2016/07/14 · arxiv updated 2016/07/15

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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