A new number field construction of the lattice E8

A new number field construction of the lattice E8

Known number theoretical constructions of the lattice E 8 use the cyclotomic fields , and . In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is exhibited.

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Veröffentlicht in:Beiträge zur Algebra und Geometrie 2013-10, Vol.54 (2), p.503-508
Hauptverfasser: Flores, André Luiz, Interlando, J. Carmelo, da Nóbrega Neto, Trajano Pires, Contiero, André Luís
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
Zusammenfassung:Known number theoretical constructions of the lattice E 8 use the cyclotomic fields , and . In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is exhibited.
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-012-0095-5