This project is concerned with the representation theory of general linear groups and their quantizations. The principal investigator will investigate the Hecke algebras associated with Weyl groups in an effort to extend the work on q-Schur algebras and apply it to other groups of Lie type. This research is in the general area of the representation theory of finite classical groups. One of the main applications of group theory to other mathematical and scientific fields is in representation theory, and finite classical groups are a primary source of finite simple groups.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9002606
Program Officer
Ann K. Boyle
Project Start
Project End
Budget Start
1990-06-01
Budget End
1992-11-30
Support Year
Fiscal Year
1990
Total Cost
$64,000
Indirect Cost
Name
University of Oklahoma
Department
Type
DUNS #
City
Norman
State
OK
Country
United States
Zip Code
73019