The Lyceum is best known for the Peripatetic school Aristotle founded there. It carried on under a series of leaders after his lifetime until Sulla destroyed it in 86 BC.
Based on Wikipedia: Lyceum (classical)
It was best known for the Peripatetic school of philosophy founded there by Aristotle in 334 BC.
Aristotle fled Athens in 323 BC, and the university continued to function after his lifetime under a series of leaders until the Roman general Sulla destroyed it during his assault on Athens in 86 BC.