A q-analog of Schur's Q-functions
Combinatorics
2007-05-23 v2 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/0203046,
title = {A q-analog of Schur's Q-functions},
author = {Geanina Tudose and Michael Zabrocki},
journal= {arXiv preprint arXiv:math/0203046},
year = {2007}
}
Comments
24 pages