Math of QM: 8.7. Stone-von Neumann Theorem: Extension to Finite Number of Degrees

Extension of the Stone-von Neumann theorem to a finite number of degrees of freedom; breakdown of the theorem in the case of an infinite number of degrees of freedom.
This is the final part of Lecture 8 in the lecture series "Mathematical Aspects of Quantum Mechanics" of Roland Speicher in the winter term 2020/21 at Saarland University, Germany. Lecture 8, which is split into 7 parts, states and proves the Stone-von Neumann uniqueness theorem for representations of the Weyl relations.