Symmetric and nonsymmetric Macdonald polynomials

Daniel Graham MARSHALL

doi:10.1007/BF01608794

Symmetric and nonsymmetric Macdonald polynomials

Research output: Journal Publications › Journal Article (refereed) › peer-review

Abstract

The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their nonsymmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.

Original language	English
Pages (from-to)	385-415
Number of pages	31
Journal	Annals of Combinatorics
Volume	3
Issue number	2-4
DOIs	https://doi.org/10.1007/BF01608794
Publication status	Published - 1 Jun 1999
Externally published	Yes

Keywords

Hecke algebras
Macdonald polynomials
q-series

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10.1007/BF01608794

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title = "Symmetric and nonsymmetric Macdonald polynomials",

abstract = "The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their nonsymmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.",

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T1 - Symmetric and nonsymmetric Macdonald polynomials

AU - MARSHALL, Daniel Graham

PY - 1999/6/1

Y1 - 1999/6/1

N2 - The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their nonsymmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.

AB - The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their nonsymmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.

KW - Hecke algebras

KW - Macdonald polynomials

KW - q-series

UR - http://commons.ln.edu.hk/sw_master/6355

U2 - 10.1007/BF01608794

DO - 10.1007/BF01608794

M3 - Journal Article (refereed)

SN - 0218-0006

VL - 3

SP - 385

EP - 415

JO - Annals of Combinatorics

JF - Annals of Combinatorics

IS - 2-4

ER -

Symmetric and nonsymmetric Macdonald polynomials

Abstract

Keywords

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