Lattices of Simplex Type

Lattices of simplex type provide a common setting for the Leech lattice, a lattice related to Shult and Yanushka's [Geom. Dedicata, 9 (1980), pp. 1-72] very regular line system with 256 lines and Du Val's [Proc. London Math. Soc., 42 (1937), pp. 18-51] hyperbolic version of the root system...

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Veröffentlicht in:SIAM journal on algebraic and discrete methods 1983-06, Vol.4 (2), p.145-160
1. Verfasser: Neumaier, A.
Format: Artikel
Sprache:eng
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Zusammenfassung:Lattices of simplex type provide a common setting for the Leech lattice, a lattice related to Shult and Yanushka's [Geom. Dedicata, 9 (1980), pp. 1-72] very regular line system with 256 lines and Du Val's [Proc. London Math. Soc., 42 (1937), pp. 18-51] hyperbolic version of the root system $E_8 $. Many other examples are given.
ISSN:0196-5212
0895-4798
2168-345X
1095-7162
DOI:10.1137/0604017