Invarianzgruppen von Bewegungsgleichungen mit Kommutatorring

An attempt to describe particles by hermitian operators obeying commutator relations leads to a ring of sixteen elements to be represented by matrices of infinite rank. Equations of motion containing elements of the ring are shown to be invariant under charge-conjugation, time-reversal and inhomogeneous Lorentz transformations. Analogs to Pauli- and Gursey-transformations can also be defined and may be used to introduce isospin and helicity.