| dbo:abstract |
In geometry and mathematical group theory, a unimodular lattice is an integral lattice of determinant 1 or −1. For a lattice in n-dimensional Euclidean space, this is equivalent to requiring that the volume of any fundamental domain for the lattice be 1. The E8 lattice and the Leech lattice are two famous examples. (en) 유니모듈러 격자(영어: unimodular lattice)는 행렬식이 ±1인 격자이다. (ko) In de wiskunde is een unimodulair rooster een rooster met determinant 1 of −1. Twee bekende voorbeelden van een unimodulair rooster zijn het E8-rooster en het Leech-rooster. (nl) Унімодулярна ґратка — ціла ґратка з визначником . Останнє еквівалентне тому, що об'єм фундаментальної області ґратки дорівнює . (uk) Унимодулярная решётка — целая решётка с определителем .Последнее эквивалентно тому, что объём фундаментальной области решётки равен . (ru) |
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https://archive.org/details/spherepackingsla0000conw_b8u0 https://archive.org/details/courseinarithmet00serr https://web.archive.org/web/20070928015916/http:/www-fourier.ujf-grenoble.fr/PREP/html/a332/a332.html http://www.research.att.com/%7Enjas/lattices/unimodular.html http://www-fourier.ujf-grenoble.fr/PREP/html/a332/a332.html |
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| dbp:formalname |
Number of n-dimensional unimodular lattice (en) |
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Number of n-dimensional unimodular lattices (en) |
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A005134 (en) |
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In geometry and mathematical group theory, a unimodular lattice is an integral lattice of determinant 1 or −1. For a lattice in n-dimensional Euclidean space, this is equivalent to requiring that the volume of any fundamental domain for the lattice be 1. The E8 lattice and the Leech lattice are two famous examples. (en) 유니모듈러 격자(영어: unimodular lattice)는 행렬식이 ±1인 격자이다. (ko) In de wiskunde is een unimodulair rooster een rooster met determinant 1 of −1. Twee bekende voorbeelden van een unimodulair rooster zijn het E8-rooster en het Leech-rooster. (nl) Унімодулярна ґратка — ціла ґратка з визначником . Останнє еквівалентне тому, що об'єм фундаментальної області ґратки дорівнює . (uk) Унимодулярная решётка — целая решётка с определителем .Последнее эквивалентно тому, что объём фундаментальной области решётки равен . (ru) |
| rdfs:label |
유니모듈러 격자 (ko) Unimodulair rooster (nl) Unimodular lattice (en) Унимодулярная решётка (ru) Унімодулярна ґратка (uk) |
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