Torsional vibration damping arrangement for the drive train of a motor vehicle, comprising - an input region which is to be driven for rotation about a rotational axis and an output region, and - a first torque transmission path and, parallel thereto, a second torque transmission path which both emanate from the input region, and - a coupling arrangement which is connected to the output region in order to superimpose the torques which are conducted via the torque transmission paths (47; 48), the coupling arrangement comprising a planetary transmission with a planetary gear carrier, and - a phase shifter arrangement for the first torque transmission path for generating a phase shift of rotational non-uniformities which are conducted via the first torque transmission path with regard to the rotational non-uniformities which are conducted via the second torque transmission path, the phase shifter arrangement comprising an input element and an output element, the output element of the phase shifter arrangement comprising the planetary gear carrier, on which at least one planetary gear is mounted rotatably, the phase shifter arrangement comprising a vibration system with a primary mass and an intermediate element which can be rotated about the rotational axis with regard to the primary mass counter to the action of a spring arrangement, the planetary transmission comprising a drive sun gear and an output sun gear, the output sun gear being connected fixedly to the output region so as to rotate with it, and the drive sun gear and the output sun gear meshing with the planetary gear, or the planetary transmission comprising a drive internal gear and an output internal gear, the output internal gear being connected fixedly to the output region so as to rotate with it, and the drive internal gear and the output internal gear meshing with the planetary gear, characterized in that the drive sun gear or the drive internal gear is connected fixedly to the primary mass so as to rotate with it. - an input region which is to be driven for rotation about a rotational axis and an output region, and - a first torque transmission path and, parallel thereto, a second torque transmission path which both emanate from the input region, and - a coupling arrangement which is connected to the output region in order to superimpose the torques which are conducted via the torque transmission paths (47; 48), the coupling arrangement comprising a planetary transmission with a planetary gear carrier, and - a phase shifter arrangement for the first torque transmission path for generating a phase shift of rotational non-uniformities which are conducted via the first torque transmission path with regard to the rotational non-uniformities which are conducted via the second torque transmission path, the phase shifter arrangement comprising an input element and an output element, the output element of the phase shifter arrangement comprising the planetary gear carrier, on which at least one planetary gear is mounted rotatably, the phase shifter arrangement comprising a vibration system with a primary mass and an intermediate element which can be rotated about the rotational axis with regard to the primary mass counter to the action of a spring arrangement, the planetary transmission comprising a drive sun gear and an output sun gear, the output sun gear being connected fixedly to the output region so as to rotate with it, and the drive sun gear and the output sun gear meshing with the planetary gear, or the planetary transmission comprising a drive internal gear and an output internal gear, the output internal gear being connected fixedly to the output region so as to rotate with it, and the drive internal gear and the output internal gear meshing with the planetary gear, characterized in that the drive sun gear or the drive internal gear is connected fixedly to the primary mass so as to rotate with it.