Geanina Tudose, Michael Zabrocki
Published 2002-03-05, updated 2002-03-10Version 2
We present a family of analogs of the Hall-Littlewood symmetric functions in the $Q$-function algebra. The change of basis coefficients between this family and Schur's $Q$-functions are $q$-analogs of numbers of marked shifted tableaux. These coefficients exhibit many parallel properties to the Kostka-Foulkes polynomials.
On a conjecture on 2-reduced Schur functions and Schur's Q-functions
Quasisymmetric expansion of Hall-Littlewood symmetric functions
Rogers-Szego polynomials and Hall-Littlewood symmetric functions
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