Zierau will investigate the realization of singular unitary representation associated to elliptic coadjoint orbits of a semisimple Lie group, i. e. representations on Dolbeault cohomology. He will unitarize these representations using square integrable harmonic forms and the invariant indefinite metric on the orbit. The theory of Lie groups, named in honor of the Norwegian mathematician Sophus Lie, has been one of the major themes in twentieth century mathematics. As the mathematical vehicle for exploiting the symmetries inherent in a system, the representation theory of Lie groups has had a profound impact upon mathematics itself, particularly in analysis and number theory, and upon theoretical physics, especially quantum mechanics and elementary particle physics.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9303224
Program Officer
Joe W. Jenkins
Project Start
Project End
Budget Start
1993-05-01
Budget End
1996-10-31
Support Year
Fiscal Year
1993
Total Cost
$62,376
Indirect Cost
Name
Oklahoma State University
Department
Type
DUNS #
City
Stillwater
State
OK
Country
United States
Zip Code
74078