A torsional vibration damping arrangement for the drivetrain of a vehicle has an input region driven in rotation around an axis of rotation A and an output region. A first torque transmission path and a second torque transmission path parallel thereto proceed from the input region. A coupling arrangement communicates with the output region for superposing the torques guided via the torque transmission paths, and a phase shifter arrangement for the first torque transmission path generates a phase shift of rotational irregularities guided via the first torque transmission path relative to rotational irregularities guided via the second torque transmission path. The output region includes the planet gear carrier at which a planet gear is rotatably supported, and the planet gear carrier is connected to the output region to be fixed with respect to rotation relative to it.