Symmetric and non-symmetric Macdonald polynomials
Quantum Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/9812080,
title = {Symmetric and non-symmetric Macdonald polynomials},
author = {Dan Marshall},
journal= {arXiv preprint arXiv:math/9812080},
year = {2007}
}
Comments
AMS-Latex, 24 pages