Mathematical Sciences: Representation Theory of Infinite    Dimensional Lie Algebras and Applications
{'Code': '03040300', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle'}
This project is concerned with a variety of problems in the                area of infinite dimensional Lie algebras. The principal                        investigator will study infinite-dimensional groups associated to               Kac-Moody algebras, representations of the Virasoro algebra,                    exceptional hierarchies of soliton equations, superintegrable                   systems, and moduli spaces.                                                          The research conducted under this award concerns the                       topological and algebra-geometric structure of infinite                         dimensional groups attached to Kac-Moody algebras and their flag                varieties. The study of these Kac-Moody algebras have                           applications throughout mathematics and mathematical physics.
{'FirstName': 'Victor', 'LastName': 'Kac', 'EmailAddress': 'kac@math.mit.edu', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Massachusetts Institute of Technology', 'CityName': 'Cambridge', 'ZipCode': '021394301', 'PhoneNumber': '6172531000', 'StreetAddress': '77 MASSACHUSETTS AVE', 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802489.xml'}