  We show that an algebraic stack with affine stabilizer groups satisfies the
resolution property if and only if it is a quotient of a quasi-affine scheme by
the action of the general linear group, or equivalently, if there exists a
vector bundle whose associated frame bundle has quasi-affine total space. This
generalizes a result of B. Totaro to non-normal and non-noetherian schemes and
algebraic stacks. Also, we show that the vector bundle induces such a quotient
structure if and only if it is a tensor generator in the category of
quasi-coherent sheaves.
