About: Coxeter–Todd lattice

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In mathematics, the Coxeter–Todd lattice K12, discovered by Coxeter and Todd, is a 12-dimensional even integral lattice of discriminant 36 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 3, and is analogous to the Barnes–Wall lattice. The automorphism group of the Coxeter–Todd lattice has order 210·37·5·7=78382080, and there are 756 vectors in this lattice of norm 4 (the shortest nonzero vectors in this lattice).

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  • In mathematics, the Coxeter–Todd lattice K12, discovered by Coxeter and Todd, is a 12-dimensional even integral lattice of discriminant 36 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 3, and is analogous to the Barnes–Wall lattice. The automorphism group of the Coxeter–Todd lattice has order 210·37·5·7=78382080, and there are 756 vectors in this lattice of norm 4 (the shortest nonzero vectors in this lattice). (en)
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  • 14777789 (xsd:integer)
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  • 3800 (xsd:nonNegativeInteger)
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  • 1060359101 (xsd:integer)
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  • H. S. M. Coxeter (en)
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  • J. A. Todd (en)
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  • Todd (en)
  • Coxeter (en)
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  • yes (en)
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  • 1953 (xsd:integer)
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  • In mathematics, the Coxeter–Todd lattice K12, discovered by Coxeter and Todd, is a 12-dimensional even integral lattice of discriminant 36 with no norm-2 vectors. It is the sublattice of the Leech lattice fixed by a certain automorphism of order 3, and is analogous to the Barnes–Wall lattice. The automorphism group of the Coxeter–Todd lattice has order 210·37·5·7=78382080, and there are 756 vectors in this lattice of norm 4 (the shortest nonzero vectors in this lattice). (en)
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  • Coxeter–Todd lattice (en)
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