# restriction representation

Let $\rho :G\u27f6\mathrm{GL}(V)$ be a representation on a group $G$. The restriction representation of $\rho $ to a subgroup^{} $H$ of $G$, denoted ${\mathrm{Res}}_{H}^{G}(V)$, is the representation ${\rho |}_{H}:H\u27f6\mathrm{GL}(V)$ obtained by restricting the function $\rho $ to the subset $H\subset G$.

Title | restriction representation |
---|---|

Canonical name | RestrictionRepresentation |

Date of creation | 2013-03-22 12:17:30 |

Last modified on | 2013-03-22 12:17:30 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 4 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 20C99 |