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 |
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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.
| Item Type: | Article |
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| 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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Philipp Lampe |
| Date Deposited: | 16 Jul 2018 16:41 UTC |
| Last Modified: | 20 May 2025 11:39 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/67641 (The current URI for this page, for reference purposes) |
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