Duality Induced Reflections and CPT

The linear particle-antiparticle conjugation $\text{ty}C$ and position space reflection $\text{ty}P$ as well as the antilinear time reflection $\text{ty}T$ are shown to be inducable by the selfduality of representations for the operation groups $\text{SU}(2)$, $\text{SL}({\text{C}}^2)$ and $\mathbb{R}$ for spin, Lorentz transformations and time translations resp. The definition of a colour compatible linear $\text{ty}CP$-reflection for quarks as selfduality induced is impossible since triplet and antitriplet $\text{SU}(3)$-representations are not linearly equivalent.