Mathematische Zeitschrift

, Volume 269, Issue 1–2, pp 281–292

Pieri formulas for Macdonald’s spherical functions and polynomials

Article

Abstract

We present explicit Pieri formulas for Macdonald’s spherical functions (or generalized Hall-Littlewood polynomials associated with root systems) and their q-deformation the Macdonald polynomials. For the root systems of type A, 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.

Keywords

Symmetric functions Hall-Littlewood polynomials Macdonald polynomials Pieri formulas Root systems Reflection groups 

Mathematics Subject Classification (2000)

Primary 05E05 Secondary 33D52 17B22 20F55 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Instituto de Matemática y FísicaUniversidad de TalcaTalcaChile

Personalised recommendations