The whole prayer

Sitting

Taslīm — the ending

Turning right, then left, and giving peace away.

السَّلَامُ عَلَيْكُمْ وَرَحْمَةُ اللهِ

As-salāmu ʿalaykum wa raḥmatullāh

Peace be upon you, and the mercy of Allah.

Why it is said here

The prayer began by shutting the world out and ends by turning back to it — and the first thing you do on returning is wish peace on the people to your right and your left. Notice you do not end with a word about yourself. You leave the prayer giving something away.