Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers

Details Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers

2007-10-19

arxiv.org/abs/0710.3664v1

Mathematics

Number Theory

17 pages

Scientific paper

All indecomposable unimodular hermitian lattices in dimensions 14 and 15 over
the ring of integers in $\mathbb{Q}(\sqrt{-3})$ are determined. Precisely one
lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3.

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