Abstract
Based on the phase space generating functional of the Green function for a system with a singular higher-order Lagrangian, the quantal conserved laws (QCL) have been derived under the global symmetry transformation in the extended phase space. The application of the results to non-Abelian higher-derivative Chern-Simons theories (NAHDCST) is studied; the quantal BRS conserved quantity and conserved angular momentum are obtained. This quantal conserved angular momentum differs from classical Noether one.