Mathematical Sciences: The Invariants of n x n Matrices
{'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}
The project supported concerns the ring of invariants,                     C(n,r), of a set of r generic nxn matrices over a field K and the               trace ring, R(n,r). The main problem is to find presentations for               C(n,r) as an algebra over K and R(n,r) as an algebra over C(n,r).               The project will also consider the minimal degree of elements in                a generating set and whether the quotient field of C(n,r) is                    purely transcendental over K.                                                        The research supported concerns matrix theory, ring theory                 and the calculation of invariants. In particular, this involves                 an old problem of determining what mathematical functions are                   preserved under various transformations. This is of interest in                 many areas of science as well as in mathematics.
{'FirstName': 'Edward', 'LastName': 'Formanek', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Edward Formanek', 'EmailAddress': 'formanek@math.psu.edu', 'NSF_ID': '000313947', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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