A Pieri formula for Macdonald's spherical functions and polynomials
Representation Theory
2011-09-16 v1 Combinatorics
Abstract
We present explicit Pieri formulas for Macdonald's spherical functions (or generalized Hall-Littlewood polynomials associated with root systems) and their -deformation the Macdonald polynomials. For the root systems of type , our Pieri formulas recover the well-known Pieri formulas for the Hall-Littlewood and Macdonald symmetric functions due to Morris and Macdonald as special cases.
Cite
@article{arxiv.1009.4482,
title = {A Pieri formula for Macdonald's spherical functions and polynomials},
author = {J. F. van Diejen and E. Emsiz},
journal= {arXiv preprint arXiv:1009.4482},
year = {2011}
}
Comments
11 pages. To appear in Math. Z