Young Tableux and representation theory

[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 I am 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.

 

[Chris Hillman]

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