lyceum vs hall

lyceum and hall both are nouns.

Word	Noun	Adjective	Verb	Adverb
lyceum	Yes	No	No	No
hall	Yes	No	No	No

As nouns, hall is a hypernym of lyceum; that is, hall is a word with a broader meaning than lyceum:

lyceum (noun)	hall (noun)
a public hall for lectures and concerts	a large building for meetings or entertainment
a school for students intermediate between elementary school and college; usually grades 9 to 12	a large room for gatherings, receiving guests, or entertainment
	an interior passage or corridor onto which rooms open
	a college or university building containing living quarters for students
	a large entrance or reception room or area
	the large room of a manor or castle
	a large and imposing house
	a large building used by a college or university for teaching or research