Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers
Number Theory
2026-01-27 v1 Group Theory
Abstract
All indecomposable unimodular hermitian lattices in dimensions 14 and 15 over the ring of integers in are determined. Precisely one lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3.
Keywords
Cite
@article{arxiv.0710.3664,
title = {Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers},
author = {Kanat Abdukhalikov and Rudolf Scharlau},
journal= {arXiv preprint arXiv:0710.3664},
year = {2026}
}
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17 pages