  Let $G$ be a simple classical algebraic group over an algebraically closed
field $K$ of characteristic $p \ge 0$ with natural module $W$. Let $H$ be a
closed subgroup of $G$ and let $V$ be a non-trivial irreducible
tensor-indecomposable $p$-restricted rational $KG$-module such that the
restriction of $V$ to $H$ is irreducible. In this paper we classify all such
triples $(G,H,V)$, where $H$ is a maximal closed disconnected
positive-dimensional subgroup of $G$, and $H$ preserves a natural geometric
structure on $W$.
