There are a few ways you can lighten post-inflammatory hyperpigmentation (PIH) on the buttocks. I could suggest the following.
I would first suggest using topical hyperpigmentation products that have lightening effects. These include products that contain vitamin c, hydroquinone-based or various combinations of active ingredients.
Apart from that, I also use a modified TCA peel. This TCA peel may help to lighten and brighten the skin without leaving any downtime.
Lastly, you may choose to use light-based devices such as IPL and Lasers. However, light-based devices are generally more costly as compared to the other 2 suggestions.
It is important to consult your doctor first. That way, he/she will be able to correctly recommend you the suitable treatment to treat your PIH.