%0 Journal Article %T Representation theory of rectangular finite $W$-algebras %A Jonathan Brown %J Mathematics %D 2010 %I arXiv %X We classify the finite dimensional irreducible representations of rectangular finite $W$-algebras, i.e., the finite $W$-algebras $U(\mathfrak{g}, e)$ where $\mathfrak{g}$ is a symplectic or orthogonal Lie algebra and $e \in \mathfrak{g}$ is a nilpotent element with Jordan blocks all the same size. %U http://arxiv.org/abs/1003.2179v1