ΔE 16.4, loose: different enough that you should pick on purpose. Alien Purple is a little darker, much more saturated than Mauve.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Alien Purple is a little darker, much more saturated than Mauve.
The same difference applies the other way round: Mauve is a little lighter, much more muted.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Mauve on the colour wheel See Alien Purple on the colour wheel
All matches: Mauve equivalents · Alien Purple equivalents