Path integral over a $c$-number measure for interacting bosons and fermions

The matrix elements of the evolution operator of interacting bosons and fermions are represented as path integrals over coherent states on a Lie group. In the case of spinless electrons interacting with the electromagnetic field, this integral is transformed to an integral over the paths of the electrons in the three-dimensional space $E_3$. A scheme for constructing a path integral for electrons with spin degrees of freedom is proposed.