The densest lattice in twenty-four dimensions-Reference-Cited by-同舟云学术

The densest lattice in twenty-four dimensions

Published:2004-06-17 Issue:7 Volume:10 Page:58-67
ISSN:1079-6762
Container-title:Electronic Research Announcements of the American Mathematical Society
language:en
Short-container-title:Electron. Res. Announc. Amer. Math. Soc.

Author:

Cohn Henry,Kumar Abhinav

Abstract

In this research announcement we outline the methods used in our recent proof that the Leech lattice is the unique densest lattice in R 24 \mathbb {R}^{24} . Complete details will appear elsewhere, but here we illustrate our techniques by applying them to the case of lattice packings in R 2 \mathbb {R}^2 , and we discuss the obstacles that arise in higher dimensions.

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

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