# root lattice

If $R\subset E$ is a root system^{}, and $E$ a Euclidean vector space, then the root lattice^{}
${\mathrm{\Lambda}}_{R}$ of $R$ is the subset of $E$ generated by $R$ as an abelian group^{}. In fact, this
group is free on the simple roots, and is thus a full sublattice of $E$.

Title | root lattice |
---|---|

Canonical name | RootLattice |

Date of creation | 2013-03-22 13:11:54 |

Last modified on | 2013-03-22 13:11:54 |

Owner | bwebste (988) |

Last modified by | bwebste (988) |

Numerical id | 4 |

Author | bwebste (988) |

Entry type | Definition |

Classification | msc 17B20 |