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Hermitian lattices without a basis of minimal vectors
Authors:Byeong Moon Kim   Poo-Sung Park
Affiliation:Department of Mathematics, Kangnung National University, Kangnung, Korea ; Korea Institute for Advanced Study, Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722, Korea
Abstract:
It is shown that over infinitely many imaginary quadratic fields there exists a Hermitian lattice in all even ranks $ n ge 2$ which is generated by its $ 4n$ minimal vectors but which is not generated by $ 2n-1$ minimal vectors.

Keywords:Hermitian lattice   minimal vector
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