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math.QA2000
Hall-Littlewood vertex operators and generalized Kostka polynomials
Mark Shimozono, Mike Zabrocki
A family of vertex operators that generalizes those given by Jing for the Hall-Littlewood symmetric functions is presented. These operators produce symmetric functions related to t…
math.QA2000★ 20 cited
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Anne Schilling, Mark Shimozono
Level-restricted paths play an important role in crystal theory. They correspond to certain highest weight vectors of modules of quantum affine algebras. We show that the recently…