Analogs of group schemes over non-commutative rings

Question

For a commutative ring $R$, I can consider $\operatorname{GL}_n(R)$ as a group scheme over $\operatorname{Spec} R$. Are there analogs of this notion when $R$ is non-commutative, say $R = \operatorname{End}_k V$ (for $V$ a finite-dimensional $k$-vector space), which retain any useful part of the theory of group schemes?