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

Lampe, Philipp (2018) On the Approximate Periodicity of Sequences Attached to Non-Crystallographic Root Systems. Experimental Mathematics, 27 (3). pp. 265-271. ISSN 1058-6458. (doi:10.1080/10586458.2016.1255861) (KAR id:67641)

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Official URL: https://dx.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
DOI/Identification number:	10.1080/10586458.2016.1255861
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:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Philipp Lampe
Date Deposited:	16 Jul 2018 16:41 UTC
Last Modified:	04 Mar 2024 15:24 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/67641 (The current URI for this page, for reference purposes)

University of Kent Author Information

Lampe, Philipp.

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