Signed words and permutations, IV; Fixed and pixed points

Dominique Foata; Guo-Niu Han

Signed words and permutations, IV; Fixed and pixed points

Combinatorics 2007-05-23 v1

Authors: Dominique Foata , Guo-Niu Han

Abstract

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

Keywords

q-series and q-analogues

Cite

@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}
}

Comments

21 pages

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