中文

Tableaux statistics for two part Macdonald polynomials

组合数学 2007-05-23 v1 量子代数

摘要

The Macdonald polynomials expanded in terms of a modified Schur function basis have coefficients called the q,tq,t-Kostka polynomials. We define operators to build standard tableaux and show that they are equivalent to creation operators that recursively build the Macdonald polynomials indexed by two part partitions. We uncover a new basis for these particular Macdonald polynomials and in doing so are able to give an explicit description of their associated q,tq,t-Kostka coefficients by assigning a statistic in qq and tt to each standard tableau.

关键词

引用

@article{arxiv.math/9812001,
  title  = {Tableaux statistics for two part Macdonald polynomials},
  author = {L. Lapointe and J. Morse},
  journal= {arXiv preprint arXiv:math/9812001},
  year   = {2007}
}

备注

19 pages