Symmetric and nonsymmetric Macdonald polynomials
Document Type
Journal article
Source Publication
Annals of Combinatorics
Publication Date
6-1999
Volume
3
Issue
2-4
First Page
385
Last Page
415
Publisher
Springer Basel AG
Keywords
Macdonald polynomials, q-series, Hecke algebras
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.
DOI
10.1007/BF01608794
Print ISSN
02180006
E-ISSN
02193094
Funding Information
Supported by an APA scholarship.
Publisher Statement
Copyright © Springer-Verlag 1999. Access to external full text or publisher's version may require subscription.
Full-text Version
Publisher’s Version
Language
English
Recommended Citation
Marshall, D. (1999). Symmetric and nonsymmetric Macdonald polynomials. Annals of Combinatorics, 3(2-4), 385-415. doi: 10.1007/BF01608794