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gptkbp:instanceOf
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lattice
|
|
gptkbp:application
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gptkb:string_theory
modular forms
sphere packing
|
|
gptkbp:class
|
classified by root system
|
|
gptkbp:contains
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Leech lattice (as the unique one with no roots)
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|
gptkbp:dimensions
|
24
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gptkbp:discoveredBy
|
gptkb:Hans-Volker_Niemeier
|
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gptkbp:field
|
gptkb:algebra
gptkb:mathematics
number theory
lattice theory
|
|
https://www.w3.org/2000/01/rdf-schema#label
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Niemeier lattices
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|
gptkbp:namedAfter
|
gptkb:Hans-Volker_Niemeier
|
|
gptkbp:numberOfLatticesWithoutRoots
|
1
|
|
gptkbp:numberOfLatticesWithRoots
|
23
|
|
gptkbp:numberOfRooms
|
24
|
|
gptkbp:numberOfRootLattices
|
23
|
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gptkbp:property
|
even
positive-definite
unimodular
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:lattice_vertex_operator_algebra
gptkb:modular_moonshine
gptkb:Golay_code
gptkb:root
gptkb:ADE_classification
gptkb:Leech_lattice
gptkb:vertex_operator_algebras
gptkb:K3_surfaces
gptkb:sporadic_groups
gptkb:Monstrous_moonshine
modular forms
automorphic forms
lattice packing
modular group
automorphism groups
finite simple groups
modular invariance
moonshine theory
theta functions
string theory compactification
even lattice
unimodular lattice
|
|
gptkbp:type
|
even unimodular lattice
contains root systems of type ADE
|
|
gptkbp:yearOfClassification
|
1968
|
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gptkbp:bfsParent
|
gptkb:Leech_lattice
gptkb:E_8_root_lattice
|
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gptkbp:bfsLayer
|
6
|