Mathematical Sciences: Linear Groups Over Fields Generated  by Nilpotent Group Rings and Enveloping 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}
This project is concerned with the study of linear groups                  over fields of fractions of enveloping algebras and polycyclic                  groups rings. The principal investigator will extend known                      results from ordinary linear group theory to linear groups over                 the noncommutative division rings which arise from enveloping                   algebras of Lie algebras and from group rings of polycyclic                     groups. Certain related ring theoretic problems such as what are                the finite dimensional algebras will also be considered.                             This research focuses on the study of matrix rings over                    fields of fractions. Little is known about the structure of                     algebraic objects over skew fields and the principal investigator               is one of the few researchers who is trying to improve this                     situation.
{'FirstName': 'Alexander', 'LastName': 'Lichtman', 'PI_MID_INIT': 'I', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Alexander I Lichtman', 'EmailAddress': 'alexander.lichtman@uwp.edu', 'NSF_ID': '000209349', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Wisconsin-Madison', 'CityName': 'MADISON', 'ZipCode': '537151218', 'PhoneNumber': '6082623822', 'StreetAddress': '21 North Park Street', 'StreetAddress2': 'Suite 6301', 'CountryName': 'United States', 'StateName': 'Wisconsin', 'StateCode': 'WI', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'WI02', 'ORG_DUNS_NUM': '161202122', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WISCONSIN SYSTEM', 'ORG_PRNT_DUNS_NUM': '041188822'}
{'Name': 'University of Wisconsin-Parkside', 'CityName': 'Kenosha', 'StateCode': 'WI', 'ZipCode': '531412000', 'StreetAddress': 'Box No. 2000', 'CountryCode': 'US', 'CountryName': 'United States', 'StateName': 'Wisconsin', 'CountryFlag': '1', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_PERF': 'WI01'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802634.xml'}