Abstract
It is known that infinitely many imaginary quadratic fields allow Hermitian lattices which are generated by minimal vectors but have no basis of minimal vectors. In this article we construct systematically such Hermitian lattices over other imaginary quadratic fields. These lattices are binary and unimodular. This construction requires specific non-principal ideals.
Citation
Poo-Sung Park. "Construction of a Hermitian lattice without a basis of minimal vectors." Proc. Japan Acad. Ser. A Math. Sci. 88 (5) 75 - 77, May 2012. https://doi.org/10.3792/pjaa.88.75
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