A q-analog of Schur's Q-functions
arXiv:math/0203046
Abstract
We present a family of analogs of the Hall-Littlewood symmetric functions in the -function algebra. The change of basis coefficients between this family and Schur's -functions are -analogs of numbers of marked shifted tableaux. These coefficients exhibit many parallel properties to the Kostka-Foulkes polynomials.
24 pages