The Surah has been named Luqman after Luqman the Sage, whose admonitions to his son have been related in vv. 12-19 of this Surah.
A perusal of the subject matter shows that it was sent down in the period when persecution to suppress and thwart the invitation to Islam had begun and every sort of machination had started being employed for the purpose. This is borne out by vv. 14-...