English

Inversion of the Pieri formula for Macdonald polynomials

Combinatorics 2019-02-22 v1 Commutative Algebra

Abstract

We give the explicit analytic development of Macdonald polynomials in terms of "modified complete" and elementary symmetric functions. These expansions are obtained by inverting the Pieri formula. Specialization yields similar developments for monomial, Jack and Hall-Littlewood symmetric functions.

Keywords

Cite

@article{arxiv.math/0402127,
  title  = {Inversion of the Pieri formula for Macdonald polynomials},
  author = {Michel Lassalle and Michael Schlosser},
  journal= {arXiv preprint arXiv:math/0402127},
  year   = {2019}
}

Comments

34 pages

R2 v1 2026-07-22T17:02:17.674Z