  In this paper, we continue our study of abstract representations of
elementary subgroups of Chevalley groups of rank $\geq 2.$ First, we extend our
earlier methods to analyze representations of elementary groups over arbitrary
associative rings, and as a consequence, prove the conjecture of Borel and Tits
on abstract homomorphisms of the groups of rational points of algebraic groups
for groups of the form ${\bf SL}_{n,D}$, where $D$ is a finite-dimensional
central division algebra over a field of characteristic zero. Second, we apply
our results to study deformations of representations of elementary subgroups of
universal Chevalley groups of rank $\geq 2$ over finitely generated commutative
rings.
