Mathematical Sciences: Structure of semisimple 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 will investigate the structure of semisimple                 Hopf algebras, of Hopf algebra orders in group algebras, and of                 semisimple Hopf algebras which are semi-direct products.  The                   research will focus on the structure of finite-dimensional                      semisimple Hopf algebras and the classification of such Hopf                    algebras in low dimension.  In particular, a resolution of the                  Kaplansky conjecture will be sought.                                                 This research is in the general area of noncommutative ring                theory.  The research is concerned with the structure of Hopf                   algebras.  An improved understanding of cosemisimple Hopf                       algebras could be of fundamental importance not just in Hopf                    algebra theory but in other fields as well.  This an extremely                  difficult area but new techniques which have recently been                      introduced indicate that substantial progress can be expected.
[{'FirstName': 'Richard', 'LastName': 'Larson', 'PI_MID_INIT': 'G', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard G Larson', 'EmailAddress': None, 'NSF_ID': '000222637', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'David', 'LastName': 'Radford', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David E Radford', 'EmailAddress': 'radford@uic.edu', 'NSF_ID': '000252571', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'University of Illinois at Chicago', 'CityName': 'CHICAGO', 'ZipCode': '606124305', 'PhoneNumber': '3129962862', 'StreetAddress': '809 S MARSHFIELD AVE M/C 551', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'IL07', 'ORG_UEI_NUM': 'W8XEAJDKMXH3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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