The quantization of SU(2) Yang-Mills theory reduced to 0+1 space-time
dimensions is performed in the BRST framework. We show that in the unitary
gauge A0=0 the BRST procedure has difficulties which can be solved by
introduction of additional singlet ghost variables. In the Lorenz gauge
A˙0=0 one has additional unphysical degrees of freedom, but the BRST
quantization is free of the problems in the unitary gauge.Comment: 17 page