Learn a bit more about triality of SO

1. Mar 10, 2010

kexue

I would like to learn a bit more about triality of SO (8) as discussed in this http://en.wikipedia.org/wiki/SO%288%29" [Broken].

Especially the article says:
What do they mean by outer automorphism? How does this automorphism connect the three representations? What is meant by vector representation for the Spin(8), has a Spin group not only spinor representations?

thank you

Last edited by a moderator: May 4, 2017