Classification of eight dimensional perfect forms

Details Classification of eight dimensional perfect forms Classification of eight dimensional perfect forms

2006-09-14

arxiv.org/abs/math/0609388v3

Electron. Res. Announc. Amer. Math. Soc. 13 (2007), 21-32

Mathematics

Number Theory

14 pages

Scientific paper

In this paper, we classify the perfect lattices in dimension 8. There are
10916 of them. Our classification heavily relies on exploiting symmetry in
polyhedral computations. Here we describe algorithms making the classification
possible.

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