Symmetric and non-symmetric Macdonald polynomials

Details Symmetric and non-symmetric Macdonald polynomials Symmetric and non-symmetric Macdonald polynomials

1998-12-14

arxiv.org/abs/math/9812080v1

Mathematics

Quantum Algebra

AMS-Latex, 24 pages

Scientific paper

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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