2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52332We construct an associative differential algebra on a two-parameter quantum plane associated with a nilpotent endomorphism $d$ in the two cases $d^{2}=0$ and $d^3=0$ $(d^2\neq 0).$ The correspondent curvature is derived and the related non commutative gauge field theory is introduced.11 pagesHigh Energy Physics - TheoryThe Two-Parameter Higher Order Differential Calculus and Curvature on a Quantum Planetext