2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160891We construct $θ$-deformations of the classical groups SL(2,H) and Sp(2). Coacting on the basic instanton on a noncommutative four-sphere $S^4_θ$, we construct a noncommutative family of instantons of charge 1. The family is parametrized by the quantum quotient of $SL_θ(2,H)$ by $Sp_θ(2)$.v2: Minor changes; computation of the pairing at the end of Sect. 5.1 improvedQuantum AlgebraHigh Energy Physics - TheoryMathematical Physicstext