$GL(V)$ representations and Schur modules.

Question

Let $W$ be a fine dimensional complex vector space of dimension $n$ and $L_{\lambda}W$ the Schur module associate to the partition $\lambda=(\lambda_1, \cdots,\lambda_{n-1})$, where $\sum_i \lambda_i=n$. I have to prove the following theorem: Every irreducible representation of $GL(W)$ is isomorphic to $$ L_{\lambda}(W) \otimes (\Lambda^nW)^{\otimes d} $$ for some partition $\lambda$ and $d \in \mathbb{Z}$. Can you give me a reference o say the main steps of the proof? Thank you.