The observed properties of the Lyman- \alpha ( Ly \alpha ) emission line are a powerful probe of neutral gas in and around galaxies .
We present spatially resolved Ly \alpha spectroscopy with VLT/MUSE targeting VR7 , a UV-luminous galaxy at z = 6.532 with moderate Ly \alpha equivalent width ( EW _ { 0 } = 38 Å ) .
These data are combined with deep resolved [ CII ] _ { 158 \mu m } spectroscopy obtained with ALMA and UV imaging from HST .
Ly \alpha emission is clearly detected with S/N \approx 40 and FWHM of 370 km s ^ { -1 } .
We also detect UV continuum with MUSE .
Ly \alpha and [ CII ] are similarly extended beyond the UV , with effective radius r _ { eff } = 2.1 \pm 0.2 kpc for a single component or r _ { eff,Ly \alpha,halo } = 3.45 ^ { +1.08 } _ { -0.87 } kpc when measured jointly with the UV continuum .
The Ly \alpha profile is broader and redshifted with respect to the [ CII ] line ( by 220 km s ^ { -1 } ) , but there are spatial variations that are qualitatively similar in both lines and coincide with resolved UV components .
This suggests that the emission originates from two components , while spatially varying HI column densities are also present .
We place VR7 in the context of other galaxies at similar and lower redshift .
The Ly \alpha halo scale length is similar at different redshifts and velocity shifts with respect to the systemic are typically smaller .
Overall , we find little indications of a more neutral vicinity at higher redshift .
This means that the local ( \sim 10 kpc ) neutral gas conditions that determine the observed Ly \alpha properties in VR7 resemble the conditions in post-re-ionisation galaxies .