1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: SU(2) and SO(3)

  1. Jun 5, 2010 #1
    I have not seen why SU(2) and SO(3) groups are isomorphic?
     
  2. jcsd
  3. Jun 5, 2010 #2

    D H

    User Avatar
    Staff Emeritus
    Science Advisor

    They aren't isomorphic. SU(2) is a double cover of SO(3).
     
  4. Jun 5, 2010 #3
    Their Lie algebras are isomorphic, and they are locally isomorphic...but D H is right - they aren't isomorphic!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook