Positive definite lattices of rank at most 8.

DOI10.1016/S0022-314X(03)00107-0zbMath1044.11014OpenAlexW1989930722MaRDI QIDQ1415368

Robert L. jun. Griess

Publication date: 3 December 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-314x(03)00107-0

zbMATH Keywords

even unimodular lattices\(E_8\) root lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Minima of forms (11H50)

Related Items (7)

A quantitative stability result for the sphere packing problem in dimensions 8 and 24 ⋮ Diagonal lattices and rootless \(EE_8\) pairs ⋮ Globally optimized packings of non-uniform size spheres in \(\mathbb {R}^{d}\): a computational study ⋮ The rank-2 lattice-type vertex operator algebras \(V_L^+\) and their automorphism groups ⋮ A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16. ⋮ Pieces of \(2^d\)\,: existence and uniqueness for Barnes-Wall and Ypsilanti lattices ⋮ On definite strongly quasipositive links and L-space branched covers

Cites Work

• Klassenzahlen definiter quadratischer Formen
• Pieces of eight: semiselfdual lattices and a new foundation for the theory of Conway and Mathieu groups
• Observation on the Minimum of a Positive Quadratic Form in Eight Variables
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