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- Coxeter–Todd_lattice abstract "In mathematics, the Coxeter–Todd lattice K12, discovered by Coxeter and Todd (1953), is a the 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 similar to the Barnes–Wall lattice. The Coxeter–Todd lattice can be made into a 6-dimensional lattice self dual over the Eisenstein integers. The automorphism group of this complex lattice has index 2 in the full automorphism group of the Coxeter–Todd lattice and is a complex reflection group (number 34 on the list) with structure 6.PSU4(F3).2, called the Mitchell group.The genus of the Coxeter–Todd lattice was described by (Scharlau & Venkov 1995) and has 10 isometry classes: all of them other than the Coxeter–Todd lattice have a root system of maximal rank 12. The Coxeter–Todd lattice is described in detail in (Conway & Sloane 1999, section 4.9) and (Conway & Sloane 1983).".
- Coxeter–Todd_lattice wikiPageID "14777789".
- Coxeter–Todd_lattice wikiPageRevisionID "554921924".
- Coxeter–Todd_lattice author1Link "H. S. M. Coxeter".
- Coxeter–Todd_lattice author2Link "J. A. Todd".
- Coxeter–Todd_lattice last "Coxeter".
- Coxeter–Todd_lattice last "Todd".
- Coxeter–Todd_lattice txt "yes".
- Coxeter–Todd_lattice year "1953".
- Coxeter–Todd_lattice subject Category:Quadratic_forms.
- Coxeter–Todd_lattice comment "In mathematics, the Coxeter–Todd lattice K12, discovered by Coxeter and Todd (1953), is a the 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 similar to the Barnes–Wall lattice. The Coxeter–Todd lattice can be made into a 6-dimensional lattice self dual over the Eisenstein integers.".
- Coxeter–Todd_lattice label "Coxeter–Todd lattice".
- Coxeter–Todd_lattice sameAs Coxeter%E2%80%93Todd_lattice.
- Coxeter–Todd_lattice sameAs Q5179944.
- Coxeter–Todd_lattice sameAs Q5179944.
- Coxeter–Todd_lattice wasDerivedFrom Coxeter–Todd_lattice?oldid=554921924.