Mathematical Sciences: Representation Theory of Reductive   Lie Groups
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
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The principal investigator plans to work on problems in                    mathematical analysis concerning the representation theory of Lie               groups. A suitable example of the latter is the group of                        rotations of a sphere. Groups like this are important because                   they occur in many areas of mathematics ( e.g. geometry,                        differential equations, algebraic number theory, mathematical                   physics ) as groups of symmetries. Representation theory allows                 one to take advantage of symmetries in solving problems.                             A portion of the research will focus on a closer                           investigation of the Euler characteristic appearing in the                      Osborne character formula, aiming to describe the individual                    terms in this characteristic. The structure and properties of                   induced representations of real reductive Lie groups will also be               investigated.
{'FirstName': 'David', 'LastName': 'Collingwood', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David Collingwood', 'EmailAddress': None, 'NSF_ID': '000409770', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Washington', 'CityName': 'SEATTLE', 'ZipCode': '981951016', 'PhoneNumber': '2065434043', 'StreetAddress': '4333 BROOKLYN AVE NE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Washington', 'StateCode': 'WA', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'WA07', 'ORG_UEI_NUM': 'HD1WMN6945W6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WASHINGTON', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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