  A generic-curved spacetime Dirac-like equation in 3D is constructed. It has,
owing to the $\bar{SL}(n,R)$ group deunitarizing automorphism, a physically
correct unitarity and flat spacetime particle properties. The construction is
achieved by embedding $\bar{SL}(3,R)$ vector operator $X_{\mu}$, that plays a
role of Dirac's $\gamma_{\mu}$ matrices, into $\bar{SL}(4,R)$. Decomposition of
the unitary irreducible spinorial $\bar{SL}(4,R)$ representations gives rise to
an explicit form of the infinite $X_{\mu}$ matrices.
