I find that group structure of n-sphere is SO(n+1)/SO(n) (at http://en.wikipedia.org/wiki/N_sphere). So I want to find a book show that.
Please, show me a title of book and author. Thanks!
Thanks Matterwave! I have just read carefully on Wikipedia but I didn't find the answer. I thinks that:Maybe SO(8) isomorphic with U(5)*SU(2), they have the same dim 28. But I not sure. I haven't read it before.
I'm researching a problem relatived to group SO(8). I have searched many book of theory Group but I did'n find SO(8) isomorphic with what unitary group or their multiplication (SU(n), U(n) or SU(m)*U(n)). Please help me!