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Symmetric and non-symmetric Macdonald polynomials

Dan Marshall
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Abstract

The symmetric Macdonald polynomials are able to be constructed out of the non-symmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their non-symmetric 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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Dan Marshall. 1998-12-14. Symmetric and non-symmetric Macdonald polynomials. https://arxiv.org/abs/math/9812080

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