Although the classification of simple Lie Algebras and their representations is fully understood, I wonder whether there is **some book with exhaustive tables describing explicit irreducible representations in low dimensions**. For instance, it would be very helpful for me to know which are the first irreducible representations of $\mathfrak{so}(7)$ and $\mathfrak{so}(8)$ (up to dimension 30, say).



First Explicit Irreducible Representations
I think "Group Theory for Unified Model Building" by R. Slansky qualifies. As the title suggests it is written with an application in physics (beyond my understanding) in mind, but the tables are very useful for purely mathematical purposes as well. (Disclaimer: it is quite some years ago that I last read it.)


