We use the Gemini NIFS instrument to map the Hm and Br flux distributions in the inner 0.04-2 kpc of a sample of 36 nearby active galaxies () at spatial resolutions from 4 to 250 pc. We find extended emission in 34 galaxies. In 55% of them, the emission in both lines is most extended along the galaxy major axis, while in the other 45% the extent follows a distinct orientation. The emission of H is less concentrated than that of Br, presenting a radius that contains half of the flux 60% greater, on average. The H emission is driven by thermal processes - X-ray heating and shocks - at most locations for all galaxies, where . For regions where H/Br (seen in 40% of the galaxies), shocks are the main H excitation mechanism, while in regions with H/Br (25% of the sample) the H emission is produced by fluorescence. The only difference we found between type 1 and type 2 AGN was in the nuclear emission-line equivalent widths, that are smaller in type 1 than in type 2 due to a larger contribution to the continuum from the hot dusty torus in the former. The gas masses in the inner 125 pc radius are in the range M for the hot H and M for the ionised gas and would be enough to power the AGN in our sample for yr at their current accretion rates.

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