From Lorentz to $SIM(2)$: contraction, four-dimensional algebraic relations and projective representations

J. E. Rodrigues, J. M. B. Matzenbacher, G. M. Caires da Rocha +1

We present a comprehensive study on $SIM(2)$ and $ISIM(2)$ groups, their representations and algebraic aspects. These groups, together with $HOM(2)$, arise as the symmetry groups o…