Mathematical Sciences: Subfactors
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
This wide-ranging project is mathematical research that                    originates in the theory of operator algebras, with collateral                  impact in several other areas of mathematics.  Algebras of                      operators on Hilbert space have long been used to represent a                   diversity of mathematical structures, including some that arise                 in theoretical physics.  Professor Wenzl will pursue several                    consequences of a deceptively simple construction for building                  towers of increasingly larger operator algebras of a certain                    special sort.                                                                        More specifically, he will continue his research into Hecke                algebras and a recently discovered class of algebras connected                  with the Kauffman link invariant in knot theory.  He will explore               the connections these algebras have to representations of Lie                   groups.  More examples of subfactors of the hyperfinite factor                  studied by operator algebraists are expected to be found.                       Related issues in mathematical physics, for instance the quantum                Yang - Baxter equations, will be investigated.
{'FirstName': 'Hans', 'LastName': 'Wenzl', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Hans Wenzl', 'EmailAddress': 'hwenzl@ucsd.edu', 'NSF_ID': '000218263', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-San Diego', 'CityName': 'LA JOLLA', 'ZipCode': '920930021', 'PhoneNumber': '8585344896', 'StreetAddress': '9500 GILMAN DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '50', 'CONGRESS_DISTRICT_ORG': 'CA50', 'ORG_UEI_NUM': 'UYTTZT6G9DT1', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SAN DIEGO', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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