Generalized $P_1$- and $P_2$-lattices of order ω+

W. Zarębski

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We show that if $L$ is an extremal even unimodular lattice of rank $40 r$ with $r = 1, 2, 3$ , then $L$ is generated by its vectors of norms $4 r$ and $4 r + 2$ . Our result is an extension of Ozeki’s result for the case $r = 1$ .

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Displaying similar documents to “Generalized P 1 - and P 2 -lattices of order ω+”

Displaying similar documents to “Generalized $P_{1}$ - and $P_{2}$ -lattices of order ω+”