Homework: \({\boldsymbol{6}}_{} \otimes {\boldsymbol{8}}_{}\) and \({\boldsymbol{15}}_{} \otimes {\boldsymbol{8}}_{}\)

To put the techniques described in this manual into practice, we decompose into irreps the system \((qq)_{_{\boldsymbol{6}}}{g}\) (using first the tensor method, and then the index method), and the richer system \((qg)_{_{\boldsymbol{15}}}{g}\) (using various tools borrowed from both the tensor method and the index method). This chapter can be considered a vacation assignment for the student addicted to birdtracks.