Noncommutative families of instantons

We construct theta-deformations of the classical groups SL(2, H) and Sp(2). Coacting on a basic instanton on a noncommutative four-sphere S-theta(4), we construct a noncommutative family of instantons of charge 1. The family is parameterized by the quantum quotient of SL theta(2, H) by Sp(theta)(2)