SUQ(N) GAUGE-THEORY

A field theory with local transformations belonging to the quantum gro up SUq(n) is defined on a classical spacetime, with gauge potentials b elonging to a quantum Lie algebra. Gauge transformations are defined f or the potentials which lead to the appropriate quantum-group transfor mations for field strengths and covariant derivatives, defined for all elements of SUq(n) by means of the adjoint action. This guarantees a non-trivial deformation. Gauge-invariant commutation relations are ide ntified.