We briefly report on our recent results regarding the introduction of a
notion of a q-quaternion and the construction of instanton solutions of a
would-be deformed su(2) Yang-Mills theory on the corresponding
SO_q(4)-covariant quantum space. As the solutions depend on some noncommuting
parameters, this indicates that the moduli space of a complete theory will be a
noncommutative manifold.Comment: Latex file, 13 pages. Talk given at the 4-th International Symposium
"Quantum Theories and Phsysics", Varna, Bulgaria, August 2005. This is a
slightly improved version of the contribution which will appear in the
proceedings of the conferenc
