Usage patterns
〈事〉の権威a leading authority/expert on 〈field〉
He is a leading authority in this field.
権威があるto carry authority/prestige
This award carries a lot of prestige.
〈人〉の権威を認めるto acknowledge someone's authority/expertise
The academic society acknowledged the authority of his research.
権威に服従するto submit to authority
The people submitted to authority.