table of orthogonal groups and related

group | symbol | universal cover | symbol | higher cover | symbol |
---|---|---|---|---|---|

orthogonal group | $\mathrm{O}(n)$ | Pin group | $Pin(n)$ | Tring group | $Tring(n)$ |

special orthogonal group | $SO(n)$ | Spin group | $Spin(n)$ | String group | $String(n)$ |

Lorentz group | $\mathrm{O}(n,1)$ | $\,$ | $Spin(n,1)$ | $\,$ | $\,$ |

anti de Sitter group | $\mathrm{O}(n,2)$ | $\,$ | $Spin(n,2)$ | $\,$ | $\,$ |

conformal group | $\mathrm{O}(n+1,t+1)$ | $\,$ | |||

Narain group | $O(n,n)$ | ||||

PoincarĂ© group | $ISO(n,1)$ | PoincarĂ© spin group | $\widehat {ISO}(n,1)$ | $\,$ | $\,$ |

super PoincarĂ© group | $sISO(n,1)$ | $\,$ | $\,$ | $\,$ | $\,$ |

superconformal group |

Last revised on March 25, 2015 at 13:07:53. See the history of this page for a list of all contributions to it.