I read somewhere that the irreducible representations of Lie groups were countable. But what about translations? Isn't each momentum value its own irreducible singlet, and there are a continuum of momentum values?(adsbygoogle = window.adsbygoogle || []).push({});

For example take [tex]e^{ipx} [/tex]. If you translate it, it doesn't mix with anything else, it remains the same state. There are infinite number of momentum p, therefore infinite number of irreducible represetations.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Irreducible representations of translations

Loading...

Similar Threads - Irreducible representations translations | Date |
---|---|

Lorentz invariant theory, irreducible representations | Jun 20, 2012 |

Irreducible representations | Feb 18, 2011 |

Irreducible representations and elementary particles | Dec 27, 2010 |

Symmetry and irreducible representation | Jan 21, 2010 |

An irreducible representation of | Dec 4, 2007 |

**Physics Forums - The Fusion of Science and Community**