Classification of eight-dimensional perfect forms

Author:

Sikirić Mathieu,Schürmann Achill,Vallentin Frank

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

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