Lyceaum...with an A..isn't a real word.
Why does that site spell it like that?
Now lyceum...This is what they mean, right?
ly*ce*um (noun)
[Latin Lyceum, gymnasium near Athens where Aristotle taught, from Greek Lykeion, from neuter of lykeios, epithet of Apollo]
First appeared 1786
1 : a hall for public lectures or discussions
2 : an association providing public lectures, concerts, and entertainments
3 : LYCEE