Mathematical Sciences:  Problems in the Theory of Partitions
{'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 project is on enumerative and algorithmic properties of               partitions of integers and sets.  The investigator will continue                his present work on skew Young tableaux, and will pursue a new                  line of investigation involving q-analogs of Sterling numbers.                  In particular, various aspects of the Robinson-Schensted                        algorithm for skew tableaux will be explored, and it is hoped                   that various q-analogs of Stirling number identities can be given               combinatorial proofs.                                                                The Robinson-Schensted algorithm gives an association                      between permutations of a set and pairs of standard Young                       tableaux of the same shape.  More generally, partitions of                      integers and sets play an important role in combinatorics,                      particularly in representations of the symmetric group.
{'FirstName': 'Bruce', 'LastName': 'Sagan', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Bruce E Sagan', 'EmailAddress': 'sagan@math.msu.edu', 'NSF_ID': '000466466', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Michigan State University', 'CityName': 'EAST LANSING', 'ZipCode': '488242600', 'PhoneNumber': '5173555040', 'StreetAddress': '426 AUDITORIUM RD RM 2', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Michigan', 'StateCode': 'MI', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'MI07', 'ORG_UEI_NUM': 'R28EKN92ZTZ9', 'ORG_LGL_BUS_NAME': 'MICHIGAN STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'VJKZC4D1JN36'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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