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Réseaux quaternioniens et invariant de Venkov

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Abstract

We define an infinite family of even unimodular latticesU n with minimal norm 4, endowed with a quaternionic structure. We compute their ‘Venkov invariant’, which allows us to identifyU 32 with a previous known lattice, constructed from the Reed-Muller code of length 32.

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  1. Mathématiques Université Bordeaux I, 351, cours de la Libération, 33405, Talence Cedex

    Renaud Coulangeon

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  1. Renaud Coulangeon
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Coulangeon, R. Réseaux quaternioniens et invariant de Venkov. Manuscripta Math 82, 41–50 (1994). https://doi.org/10.1007/BF02567684

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  • DOI: https://doi.org/10.1007/BF02567684

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