Chapter 13, Problem 13.60E

Determine the resulting representations for the following products of irreducible representations.

(a) In $C_{\text{3v}}$, $A_1\otimes A_2$

(b) In $C_{\text{6v}}$, $E_1\otimes E_2$

(c) In $D_{\text{3h}}$, $A_2{}^{\text{'}}\otimes A_1{}^{\text{'}\text{'}}\otimes E^{\text{'}\text{'}}$

(d) In $D_{\text{6h}}$, $B_{\text{2g}}\otimes B_{\text{2u}}$