  We provide a conceptual proof of the color-position symmetry of colored ASEP
by relating it to the actions of Coxeter groups. The group action (and hence
the color-position symmetry) also applies to more general interacting particle
systems, such as the colored ASEP(q,j) or systems with open boundary
conditions. As an application, we find the asymptotics of the expected
positions of second-class particles in the ASEP(q,j).
