I need references for the following two results. Let $G$ be a finite group and let $H$ be a subgroup of $G$. Let $V$ be a finite-dimensional representation of $H$.
$(\text{Ind}_H^G V)^{\ast} \cong \text{Ind}_H^G V^{\ast}$.
Given a finite-dimensional representation $W$ of $G$, we have $(\text{Ind}_H^G V) \otimes W \cong \text{Ind}_H^G (V \otimes \text{Res}_H^G W)$.
I know references for these that prove them with character theory, but I need them for general fields (not just fields of characteristic $0$).