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)....

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...

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...

mathematics, umbral moonshine is a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions. It is a generalization of the...

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...

Hans-Volker Niemeier is a German mathematician who in 1973 classified the Niemeier lattices, the even positive definite unimodular lattices in 24 dimensions...

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...

to "prove" them Umbral moonshine, a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions Francisco Umbral (1932–2007)...

are precisely twenty-four such lattices that are called the Niemeier lattices, the most important being the Leech lattice, which can be constructed using...

simple groups. He discovered the relation between Niemeier lattices and deep holes of the Leech lattice, and constructed Parker's Moufang loop of order...

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...

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...

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...

Barnes–Wall lattice contains 24 lattices. In 24 dimensions there are 24 even positive definite unimodular lattices, called the Niemeier lattices. One of these...

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...

277667181515243520000}.} There are 24 even unimodular lattices of dimension 24, called the Niemeier lattices. The mass formula for them is checked in (Conway...

Lannes, Jean (2014), Formes automorphes et voisins de Kneser des réseaux de Niemeier, arXiv:1409.7616, Bibcode:2014arXiv1409.7616C Duke, W.; Imamoḡlu, Ö. (1998)...