9622566 Passman This award supports the research of Professor D. Passman to work in non-commutative ring theory. He intends to study the semiprimitivity conjecture for group rings. He also wants to work on the ideal structure of certain group algebras. He also hopes to understand better the relation between H-Galois actions on Hopf algebras and their irreducible representations. Finally, he intends to study delta methods in quantum enveloping algebras. This is research in the subfield of algebra called non-commutative ring theory. Algebra can be thought of as the study of symmetry in the abstract. As such, algebra has direct applications to areas of physics and chemistry. In fact, much of non-commutative ring theory generalizes structures found in quantum mechanics and some of these problems have possible implications for the modern theory of quantum fields.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9622566
Program Officer
Joseph P. Brennan
Project Start
Project End
Budget Start
1996-06-01
Budget End
2000-05-31
Support Year
Fiscal Year
1996
Total Cost
$152,830
Indirect Cost
Name
University of Wisconsin Madison
Department
Type
DUNS #
City
Madison
State
WI
Country
United States
Zip Code
53715