# even lattice

A lattice $L$ in ${\mathbb{R}}^{n}$ is if the norm of every vector in $L$ is an even integer. Note that because of the polarization identity^{}

$$(x,y)=\frac{(x+y,x+y)-(x,x)-(y,y)}{2}$$ |

it follows that all scalar products^{} in an even lattice are .

Title | even lattice |
---|---|

Canonical name | EvenLattice |

Date of creation | 2013-03-22 18:43:29 |

Last modified on | 2013-03-22 18:43:29 |

Owner | monster (22721) |

Last modified by | monster (22721) |

Numerical id | 4 |

Author | monster (22721) |

Entry type | Definition |

Classification | msc 11H06 |