Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)

Scott Duke Kominers; Zachary  Abel

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Article | Journal de Théorie des Nombres de Bordeaux

Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)

by Scott Duke Kominers and Zachary Abel

Abstract

We show that if L is an extremal even unimodular lattice of rank 40r with r=1,2,3 then L is generated by its vectors of norms 4r and 4r+2. Our result is an extension of Ozeki's result for the case r=1.

Keywords: Mathematical Methods;

Format: Print

7 pages

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Citation:

Kominers, Scott Duke, and Zachary Abel. "Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)." Journal de Théorie des Nombres de Bordeaux 20, no. 2 (2008): 365–371.

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Scott Duke Kominers

MBA Class of 1960 Associate Professor of Business Administration

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Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)

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