Mathematical Sciences: Combinatorial and Geometric          Techniques in Group Representation Theory
{'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}
This project is concerned with the theory of modular                       representations of the finite groups of Lie type, in which case                 the natural geometry is the Tits building. Earlier work has                     established techniques for describing important modules via                     generators and relations determined by the geometry. This                       research will extend the class of modules to which the methods                  apply. These techniques will be used to study the modular                       representations of the highly exceptional sporadic simple                       groups.                                                                              The study of groups arises from consideration of the                       symmetry of physical and theoretical objects. The expression of                 these symmetry transformations by means of matrices leads to                    group representation theory. This project will develop                          representation theory by exploiting techniques from                             combinatorics and discrete geometry.
{'FirstName': 'Stephen', 'LastName': 'Smith', 'PI_MID_INIT': 'D', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Stephen D Smith', 'EmailAddress': None, 'NSF_ID': '000374106', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Illinois at Chicago', 'CityName': 'CHICAGO', 'ZipCode': '606124305', 'PhoneNumber': '3129962862', 'StreetAddress': '809 S MARSHFIELD AVE M/C 551', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'IL07', 'ORG_UEI_NUM': 'W8XEAJDKMXH3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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