Young Tableux and representation theory

1. Sep 18, 2007

Haelfix

Hey guys, I was just wondering if you have a good references to the use of Young diagrams/Tableuxs specifically to deduce the representation theory of various Lie groups *other than SU(N)*

I know how it works for SU(N) and those groups that can be split into tensor copies theoreof, but I have no idea how to use them for say SO(7) (and im pretty sure it can be done).

I know how to find the reps using root/weight systems, but Young diagrams are so much easier to use imo.

2. Sep 20, 2007

Chris Hillman

Try the book by Daniel Bump, Lie Groups, Springer, 2000, e.g. see the detailed discussion of SO(9) on p. 263.