Let $G$ be a finite group. Consider the group algebra $\Bbb{C}[G]$ as a right module over itself. By Maschke's Theorem, $\Bbb{C}[G]$ is semisimple. How can we identify all the minimal right ideals of $\Bbb{C}[G]$? For example, from general module theory I know that if $I$ is a minimal right ideal in a ring $R$ (not necessarily commutative) then we have that $I^2 = 0$ or $I =eR$ for some idempotent $R$.
However my ring $R$ ( that is $\Bbb{C}[G]$ now) is semisimple, is there anything special now in this case?