On the role of rank in representation theory of the classical groups

On the role of rank in representation theory of the classical groups - Roger Howe

Roger Howe
Yale University and Texas A & M University
March 8, 2017
Rank gives a natural filtration on representations of classical groups. The eta correspondence provides a clean description of a natural family of representations of a given rank, subject to certain bounds. There is evidence that this construction produces all representations of small rank.