Mathematical Sciences: Hopf 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 classification of                       finite dimensional Hopf algebras. Recently, the principal                       investigator proved that a finite dimensional Hopf algebra is a                 free module over its arbitrary Hopf subalgebras. Using this                     freeness theorem and the relevant techniques, the principal                     investigator will classify Hopf algebras with small coradical,                  Hopf algebras of prime dimension and Hopf algebras of low                       dimension.                                                                           The research in this project is in the general area of                     ring theory. It is specifically concerned with Hopf algebras.                   Hopf algebras have many applications, for example, in Kac-Moody                 algebras, in group theory and in quantum mechanics. A                           successful outcome for this project would lead to many useful                   applications.
{'FirstName': 'Warren', 'LastName': 'Nichols', 'PI_MID_INIT': 'D', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Warren D Nichols', 'EmailAddress': 'nichols@math.fsu.edu', 'NSF_ID': '000315117', 'StartDate': '10/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Florida State University', 'CityName': 'TALLAHASSEE', 'ZipCode': '323060001', 'PhoneNumber': '8506445260', 'StreetAddress': '874 TRADITIONS WAY', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Florida', 'StateCode': 'FL', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'FL02', 'ORG_UEI_NUM': 'JF2BLNN4PJC3', 'ORG_LGL_BUS_NAME': 'FLORIDA STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'D4GCCCMXR1H3'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8813459.xml'}