Mathematical Sciences: Representations of Classical Groups  and Hecke Algebras
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
In this research the principal investigator will pursue                    further the representation theory of general linear groups.  In                 particular, there is good reason to suppose that new light can be               shed on the classical theory of representations in the describing               characteristic by subsuming this theory as a special case of the                constructions of the principal investigator and his coworker.                   The major goal of the proposed work is to investigate other                     classical groups extending the techniques developed by the                      principal investigator in previous work, with the aim of                        obtaining a classification of the simple representations of these               groups.  For this, Hecke algebras associated with Weyl groups                   have to be studied.  In view of the key role of these algebras in               the whole field this might be of interest by itself, providing                  more detailed information on Hecke algebras applicable to related               topics.
{'FirstName': 'Richard', 'LastName': 'Dipper', 'PI_MID_INIT': 'T', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard T Dipper', 'EmailAddress': None, 'NSF_ID': '000306764', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Oklahoma Norman Campus', 'CityName': 'NORMAN', 'ZipCode': '730193003', 'PhoneNumber': '4053254757', 'StreetAddress': '660 PARRINGTON OVAL RM 301', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Oklahoma', 'StateCode': 'OK', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'OK04', 'ORG_UEI_NUM': 'EVTSTTLCEWS5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF OKLAHOMA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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