Even unimodular Gaussian lattices of rank 12

JOURNAL OF NUMBER THEORY

卷:95

Article

Kitazume, M

关键词: Niemeier lattice;    Hermitian form;    root system;    automorphism group;    Weyl group;   

DOI  :  10.1006/jnth.2001.2749

来源: Elsevier

【 摘 要 】

We classify even unimodular Gaussian lattices of rank 12, that is, even unimodular integral lattices of rank 12 over the ring of Gaussian integers. This is equivalent to the classification of the automorphisms tau with tau(2) = -1 in the automorphism groups of all the Niemeier lattices, which are even unimodular (real) integral lattices of rank 24. There are 28 even unimodular Gaussian lattices of rank 12 up to equivalence. (C) 2002 by Elsevier Science.

【 授权许可】

Free