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Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Fermionic formulas Kostka polynomials coset branching functions
2010/10/29
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 established bijecti...
Hall-Littlewood vertex operators and generalized Kostka polynomials
Hall-Littlewood vertex operators generalized Kostka polynomials
2010/11/1
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 the Poincare polynom...