TITLE: Young tableaux for exceptional Lie algebras
QUESTION [9 upvotes]: Irreducible representations for the $A$-series Lie algebras are labelled Young diagrams, with a basis of each given by Young tableaux. Moreover, analogues exist for the $B,C$, and $D$ series.
Does such a description exist for the exceptional Lie algebras 
$$
\frak{g}_2 \subseteq \frak{f_4}  \subseteq\frak{e}_6  \subseteq\frak{e}_7  \subseteq\frak{e}_8?
$$

REPLY [4 votes]: Young diagrams for the exceptional Lie algebras are considered in the book https://press.princeton.edu/titles/8839.html (Group Theory: Birdtracks, Lie's, and Exceptional Groups, by Predrag Cvitanovic).