  We construct a full exceptional collection of vector bundles in the derived
category of coherent sheaves on the Grassmannian of isotropic two-dimensional
subspaces in a symplectic vector space of dimension $2n$ and in the derived
category of coherent sheaves on the Grassmannian of isotropic two-dimensional
subspaces in an orthogonal vector space of dimension $2n + 1$ for all $n$.
