Dear Friends,(adsbygoogle = window.adsbygoogle || []).push({});

I have many questions about the special Orthogonal Group SO(n) and the Special Unitary Group SU(n). The first, SO(n) has [tex]\frac {n (n-1)}{n}[/tex] parameters or degrees of freedom, and the second, SU(n) has [tex] n^2 -1[/tex].

If I take for example the group SO(3), this has 3 degrees of freedom, and SU(2) has too 3 degrees of freedom, and theres a relation 2->1 from SO to SU. The question is, if SU(n) can describe the same that SO(n) or if there's a lose of information in using SU(n).

Best Reggards.

**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!

# Questions aboug Special Groups SO(n) and SU(n)

Loading...

Similar Threads - Questions aboug Special | Date |
---|---|

I Question about simplifying Sigma notation | Feb 11, 2018 |

I Shopping List Game: Probability Question | Dec 10, 2017 |

I A simple question about probability theory | Aug 2, 2017 |

B Correlation question | Jun 20, 2017 |

I Specialization-generalization(mathematical logic) | May 10, 2017 |

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