English

On the approximate periodicity of sequences attached to noncrystallographic root systems

Dynamical Systems 2016-07-15 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1607.04223,
  title  = {On the approximate periodicity of sequences attached to noncrystallographic root systems},
  author = {Philipp Lampe},
  journal= {arXiv preprint arXiv:1607.04223},
  year   = {2016}
}

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10 pages