Deformations with respect to an algebraic group
Deformations with respect to an algebraic group
Let $\mathcal{G}$ be a smooth linear algebraic group over the ring of Witt vectors of a finite field $k$. In this paper, we study deformations of representations of a profinite group into the points $\mathcal{G}(k)$ of $\mathcal{G}$ over $k$. We show that the $\mathcal{G}$-deformation functor has a versal deformation ring, …