Pompous is a word that is typically used to describe someone who is overly self-important or arrogant. Some possible synonyms for this word include conceited, pretentious, vain, egotistical, haughty, snobbish, and narcissistic. These words all share a sense of superiority or entitlement, and they are often used to describe people who are so focused on themselves that they fail to see the perspectives of others. Other possible synonyms for pompous might include ostentatious, grandiose, overbearing, bombastic, affected, or inflated. Ultimately, the choice of synonym will depend on the particular shade of meaning that the speaker wishes to convey.