Robert McCloskey
Education
B.S. - University of Scranton
Ph.D. - Lehigh University
Research Interests
In the classical study of symmetric group representations, the Frobenius correspondence maps the simple representations to the Schur function basis in the symmetric functions. A generalization of this phenomenon involves the 0-Hecke algebra, whose irreducible (resp. projective indecomposable) modules are sent to the quasisymmetric Fundamental (resp. noncommutative ribbon) basis, under two analogs of the Frobenius map. I consider the structures of certain 0-Hecke algebra modules and their resulting quasisymmetric and noncommutative symmetric Frobenius images under these correspondences.
