- #1
wdlang
- 307
- 0
we know there is a two to one homomorphism from SU(2) to SO(3)
suppose u is an element in SU(2)
then u and -u map into the same element in SO(3)
the question is, maybe SO(3) is a quotient group of SU(2)? with respect to the subgroup {I,-I}?
suppose u is an element in SU(2)
then u and -u map into the same element in SO(3)
the question is, maybe SO(3) is a quotient group of SU(2)? with respect to the subgroup {I,-I}?