[abridged] We report integral-field spectroscopic observations with CIRPASS
mounted on the GEMINI South telescope of the nucleus of the nearby galaxy NGC
5128 (Centaurus A). We detect two-dimensional distributions of the following
emission-lines: [PII], [FeII] and Paschen beta. We compare our observations
with previously published radio observations (VLA) and archival space-based
near-infrared imaging (HST/NICMOS) and find similar features, as well as a
region of high continuum coinciding with the jet (and its N1 knot) at about 2
arcsec North-East of the nucleus, possibly related to jet-induced star
formation. We use the [FeII]/[PII] ratio to probe the ionisation mechanism,
which suggests that with increasing radius shocks play an increasingly
important role. We extract spatially resolved 2D kinematics of Pa beta and
[FeII] emission-lines. All emission-line regions are part of the same kinematic
structure which shows a twist in the zero-velocity curve beyond ~1 arcsec (for
both Pa beta and [FeII]). The kinematics of the two emission-lines are similar,
but the Pa beta velocity gradient is steeper in the centre while the velocity
dispersion is low everywhere. The velocity dispersion of the [FeII] emission is
relatively high featuring a plateau, approximately oriented in the same way as
the central part of the warped disk. We use 2D kinematic information to test
the hypothesis that the ionised gas is distributed in a circularly rotating
disk. We estimate the mass of the central black hole using Pa beta kinematics,
which is consistent with being distributed in a circularly rotating disk. We
obtain Mbh = 8.25^{+2.25}_{-4.25} * 10^7 Msun, for PA = -3 degr and i=25 degr,
which is in good agreement with previous studies.Comment: 15 pages, 10 figures. Accepted for publication in MNRA