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Signed words and permutations, IV; Fixed and pixed points

组合数学 2007-05-23 v1

摘要

The flag-major index "fmaj" and the classical length function "\ell" are used to construct two qq-analogs of the generating polynomial for the hyperoctahedral group~BnB_n by number of positive and negative fixed points (resp. pixed points). Specializations of those qq-analogs are also derived dealing with signed derangements and desarrangements, as well as several classical results that were previously proved for the symmetric group.

关键词

引用

@article{arxiv.math/0606566,
  title  = {Signed words and permutations, IV; Fixed and pixed points},
  author = {Dominique Foata and Guo-Niu Han},
  journal= {arXiv preprint arXiv:math/0606566},
  year   = {2007}
}

备注

21 pages