In mathematics, the Barnes–Wall lattice &Lambda, discovered by Barnes & Wall (1959), is the 16-dimensional positive-definite even integral lattice of discriminant 2 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 2, and is similar to the Coxeter-Todd lattice. The automorphism group of the Barnes-Wall lattice has order 89181388800 = 2 3 5 7 and has structure 2 PSO8.
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| - In mathematics, the Barnes–Wall lattice &Lambda, discovered by Barnes & Wall (1959), is the 16-dimensional positive-definite even integral lattice of discriminant 2 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 2, and is similar to the Coxeter-Todd lattice. The automorphism group of the Barnes-Wall lattice has order 89181388800 = 2 3 5 7 and has structure 2 PSO8. The genus of the Barnes-Wall lattice was described by Scharlau & Venkov and contains 24 lattices; all the elements other than the Barnes-Wall lattice have root system of maximal rank 16. The Barnes-Wall lattice is described in detail in . (en)
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| - In mathematics, the Barnes–Wall lattice &Lambda, discovered by Barnes & Wall (1959), is the 16-dimensional positive-definite even integral lattice of discriminant 2 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 2, and is similar to the Coxeter-Todd lattice. The automorphism group of the Barnes-Wall lattice has order 89181388800 = 2 3 5 7 and has structure 2 PSO8. (en)
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