%0 Journal Article %T Signed words and permutations, IV; Fixed and pixed points %A Dominique Foata %A Guo-Niu Han %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0606566v1