The word "name" is a metonym for his reputation, for what people know about him. Alternate translation: "so that people will know about your glory" (See: [[rc://en/ta/man/translate/figs-metonymy]])
God's name here represents his whole being and the honor that he deserves. Alternate translation: "so that people will honor you" or "for your own sake" (See: [[rc://en/ta/man/translate/figs-metonymy]])