Mathematical Sciences: Minimal Embeddings in Central Simple 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 research project is concerned with problems in ring                   theory and deals, more precisely, with questions about the                      embedding of semi-simple algebras in central simple algebras. If                A is a semi-simple K-algebra where K is a global field, then one                goal of this investigation is to determine the minimum dimension                of a central simple K-algebra in which A embeds and the minimum t               such that A embeds in the t x t matrices over D, where D is a K-                division ring. A related problem, which will be considered, is to               determine for a given group G the minimum t such that the t x t                 matrices over D is a crossed product for G for some K-division                  ring D.                                                                              The research supported in this project is in the general                   area of ring theory. Specifically, the principal investigator                   will study how one central simple algebra can contain another.                  This work draws on some deep results in group theory and will                   shed light on various questions in algebra and number theory.
{'FirstName': 'Burton', 'LastName': 'Fein', 'PI_MID_INIT': 'I', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Burton I Fein', 'EmailAddress': None, 'NSF_ID': '000164103', 'StartDate': '05/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Oregon State University', 'CityName': 'CORVALLIS', 'ZipCode': '973318655', 'PhoneNumber': '5417374933', 'StreetAddress': '1500 SW JEFFERSON AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Oregon', 'StateCode': 'OR', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'OR04', 'ORG_UEI_NUM': 'MZ4DYXE1SL98', 'ORG_LGL_BUS_NAME': 'OREGON STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8800687.xml'}