Niemeier lattice information

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...

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...

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

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

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...

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

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...

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...

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