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Inversion of the Pieri formula for Macdonald polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2006Embargo end date: 01 Jan 2004 English Publisher:Elsevier BVJournal:Advances in Mathematics, volume 202, pages 289-325 (issn: 0001-8708, Copyright policy )
Authors: Lassalle, Michel; Schlosser, M.;

doi: 10.1016/j.aim.2005.03.009 , 10.48550/arxiv.math/0402127

arXiv: http://arxiv.org/abs/math/0402127

Inversion of the Pieri formula for Macdonald polynomials

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.

34 pages

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Keywords

Mathematics(all), Matrix inversion, Jacobi–Trudi expansion, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 33D52 (Primary) 05E05, 15A09 (Secondary), Symmetric functions, Schur functions, Pieri formula, [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], FOS: Mathematics, Mathematics - Combinatorics, Macdonald polynomials, Hall–Littlewood polynomials, Combinatorics (math.CO), Jack polynomials

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
32
Top 10%
Top 10%
Top 10%
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