title: Even unimodular Gaussian lattices of rank 12
abstract: 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 /sup 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
keyphrases: even unimodular Gaussian lattices even unimodular integral lattices Gaussian integers automorphisms Niemeier lattices