**
Below is the ascii version of the abstract for 98-720.
The html version should be ready soon.**Stephen J. Summers
On the Stone-von Neumann Uniqueness Theorem and Its Ramifications
(62K, LATeX)
ABSTRACT. A brief history of the Stone-von Neumann uniqueness theorem
and its ramifications is provided. The influence of this theorem on the
development of quantum theory, which was its initial source of motivation, is
emphasized. In addition, its impact upon mathematics itself is suggested by
considering certain subsequent developments in originally unanticipated
directions.