Mathematical Sciences: Actions of Groups and 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 research concerns automorphism groups of rings and more               generally, the actions of Hopf algebras.  The principal                         investigator will examine those automorphisms of a ring which                   become inner on the two-sided quotient ring of the ring, as well                as the generalized Picard group.  Non-abelian extensions of Hopf                algebras will also be considered.                                                    This research is in the general area of noncommutative ring                theory.  It concerns the actions of Hopf algebras.  This line of                study is motivated in part by the study of group rings and                      representations of an affine algebraic group.  In both of these                 cases the underlying coalgebra is commutative.  This research                   will endeavor to remove the commutativity restriction.
{'FirstName': 'Susan', 'LastName': 'Montgomery', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Susan Montgomery', 'EmailAddress': 'smontgom@math.usc.edu', 'NSF_ID': '000319168', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Southern California', 'CityName': 'LOS ANGELES', 'ZipCode': '90033', 'PhoneNumber': '2137407762', 'StreetAddress': '3720 S FLOWER ST FL 3', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '34', 'CONGRESS_DISTRICT_ORG': 'CA34', 'ORG_UEI_NUM': 'G88KLJR3KYT5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF SOUTHERN CALIFORNIA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8700641.xml'}