Determinantal expressions for Macdonald polynomials
Combinatorics
2007-05-23 v1 Quantum Algebra
Abstract
We show that the action of classical operators associated to the Macdonald polynomials on the basis of Schur functions, S_{\lambda}[X(t-1)/(q-1)], can be reduced to addition in \lambda-rings. This provides explicit formulas for the Macdonald polynomials expanded in this basis as well as in the ordinary Schur basis, S_{\lambda}[X], and the monomial basis, m_{\lambda}[X].
Cite
@article{arxiv.math/9808050,
title = {Determinantal expressions for Macdonald polynomials},
author = {L. Lapointe and A. Lascoux and J. Morse},
journal= {arXiv preprint arXiv:math/9808050},
year = {2007}
}
Comments
21 pages, TeX, to be published in IMRN