- #1
Jim Kata
- 197
- 6
there's a surjective homomorphism from
a : SU(2) --> SO(3)
The kernel of this homomorphism is the center of SU(2) which is Z/2Z. Now the fundamental group of SO(3) is Z/2Z. This is a general thing.
The simplest version of my question is how is the center of SU(2) related to the fundamental group SO(3).
a : SU(2) --> SO(3)
The kernel of this homomorphism is the center of SU(2) which is Z/2Z. Now the fundamental group of SO(3) is Z/2Z. This is a general thing.
The simplest version of my question is how is the center of SU(2) related to the fundamental group SO(3).