On the Approximate Periodicity of Sequences Attached to Non-Crystallographic Root Systems

Lampe, P. (2016) On the Approximate Periodicity of Sequences Attached to Non-Crystallographic Root Systems. Experimental Mathematics, . ISSN 1058-6458. (doi:https://doi.org/10.1080/10586458.2016.1255861) (Full text available)

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https://doi.org/10.1080/10586458.2016.1255861

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.

Item Type: Article
Uncontrolled keywords: cluster algebra, non-crystallographic root system, approximate periodicity
Subjects: Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras
Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras

Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Philipp Lampe
Date Deposited: 16 Jul 2018 16:41 UTC
Last Modified: 19 Jul 2018 15:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/67641 (The current URI for this page, for reference purposes)
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