Potential applications of modular representation theory to quantum\n mechanics

There is a unique finite group that lies inside the 2-dimensional unitary\ngroup but not in the special unitary group, and maps by the symmetric square to\nan irreducible subgroup of the 3-dimensional real special orthogonal group. In\nan earlier paper I showed how the representation theory of this group over the\nreal numbers gives rise to much of the structure of the standard model of\nparticle physics, but with a number of added twists. In this theory the group\nis quantised, but the representations are not. In this paper I consider how a\nquantisation of the representations might lead to a more fundamental theory.\n