Similarity submodules and root systems in four dimensions

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dc.creatorBaake, Michael
dc.creatorMoody, Robert V.
dc.date1999-04-07
dc.date.accessioned2026-07-07T05:28:37Z
dc.date.available2026-07-07T05:28:37Z
dc.descriptionLattices and Z-modules in Euclidean space possess an infinitude of subsets that are images of the original set under similarity transformation. We classify such self-similar images according to their indices for certain 4D examples that are related to 4D root systems, both crystallographic and non-crystallographic. We encapsulate their statistics in terms of Dirichlet series generating functions and derive some of their asymptotic properties.
dc.description24 pages; written for a special issue of Can. J. Math. in honour of H.S.M. Coxeter
dc.identifierhttps://arxiv.org/abs/math/9904028
dc.identifierhttp://arxiv.org/abs/math/9904028
dc.identifierCan. J. Math. 51 (1999) 1258-1276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78330
dc.subjectMetric Geometry
dc.subjectMathematical Physics
dc.subjectNumber Theory
dc.titleSimilarity submodules and root systems in four dimensions
dc.typetext

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