mathematics, a Niemeier lattice is one of the 24 positive definite even unimodular lattices of rank 24, which were classified by Hans-Volker Niemeier (1973)....
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more, the Niemeier lattice with A24 1 root system and the Leech lattice (and also the odd Leech lattice), in 1940. Sphere packing E8 lattice Conway, J...
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In dimension 24 there are 24 such lattices, called Niemeier lattices. The most important of these is the Leech lattice. One possible basis for Γ8 is given...
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mathematics, umbral moonshine is a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions. It is a generalization of the...
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and 24. The Leech lattice Λ24 is a 24-dimensional lattice through which 23 other positive definite even unimodular Niemeier lattices of rank 24 are built...
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Hans-Volker Niemeier is a German mathematician who in 1973 classified the Niemeier lattices, the even positive definite unimodular lattices in 24 dimensions...
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8 (the E8 lattice), two in dimension 16 (E82 and II16,0), and 24 in dimension 24, called the Niemeier lattices (examples: the Leech lattice, II24,0, II16...
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to "prove" them Umbral moonshine, a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions Francisco Umbral (1932–2007)...
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are precisely twenty-four such lattices that are called the Niemeier lattices, the most important being the Leech lattice, which can be constructed using...
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000,000 even unimodular lattices (of determinants 1 or −1); which is a marked increase from the twenty-four such Niemeier lattices that exists in twenty-four...
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simple groups. He discovered the relation between Niemeier lattices and deep holes of the Leech lattice, and constructed Parker's Moufang loop of order...
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II25,1 (category Lattice points)
of the Niemeier lattices. The Niemeier lattice corresponding to the norm 0 Weyl vector of the reflection group of II25,1 is the Leech lattice. There are...
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of mock modular forms appear to be attached to Niemeier lattices. The special case of the A24 1 lattice yields Mathieu Moonshine, but in general the phenomenon...
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Barnes–Wall lattice contains 24 lattices. In 24 dimensions there are 24 even positive definite unimodular lattices, called the Niemeier lattices. One of these...
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degree 12 and weight 12 using the theta series associated with the 24 Niemeier lattices of dimension 24. Freitag also demonstrated that the Siegel modular...
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277667181515243520000}.} There are 24 even unimodular lattices of dimension 24, called the Niemeier lattices. The mass formula for them is checked in (Conway...
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Lannes, Jean (2014), Formes automorphes et voisins de Kneser des réseaux de Niemeier, arXiv:1409.7616, Bibcode:2014arXiv1409.7616C Duke, W.; Imamoḡlu, Ö. (1998)...
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