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 project is concerned with the structure of central                    simple algebras and the ways in which they combine to form Brauer               groups.  The principal investigator will study central simple                   algebras in order to explore how one of them can contain another.               An ultimate goal is to explore how semisimple algebras, which are               built from central simple algebras, can be inserted into central                simple algebras over other fields.  Solutions to these problems                 will have applications in the theory of finite groups.                               The research supported concerns the study of the Brauer                    group of a field. This group is an invariant that helps to                      explain the structure of the algebras over fields that occur as                 subalgebras of rings of matrices or linear transformations. This                work has shed light on the structure of finite dimensional                      division rings and has potential applications to the theory of                  finite groups.
{'FirstName': 'Murray', 'LastName': 'Schacher', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Murray M Schacher', 'EmailAddress': None, 'NSF_ID': '000211643', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Los Angeles', 'CityName': 'LOS ANGELES', 'ZipCode': '900244200', 'PhoneNumber': '3107940102', 'StreetAddress': '10889 WILSHIRE BLVD STE 700', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '36', 'CONGRESS_DISTRICT_ORG': 'CA36', 'ORG_UEI_NUM': 'RN64EPNH8JC6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, LOS ANGELES', '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': '8801051.xml'}