Coincidence rotations of the root lattice A₄

Baake, Michael; Grimm, Uwe; Heuer, Manuela and Zeiner, Peter (2008). Coincidence rotations of the root lattice A₄. European Journal of Combinatorics, 29(8) pp. 1808–1819.

DOI: https://doi.org/10.1016/j.ejc.2008.01.012

Abstract

The coincidence site lattices of the root lattice A4 are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of A4 into the icosian ring with its rich arithmetic structure, which recently led to the classification of the similar sublattices of A4.

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About

• Item ORO ID
• 12112
• Item Type
• Journal Item
• ISSN
• 0195-6698
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Combinatorics of Sequences and Tilings and its Applications	EP/D058465/1	EPSRC (Engineering and Physical Sciences Research Council)

• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2008 Michael Baake
• Depositing User
• Uwe Grimm