Signed words and permutations, IV; Fixed and pixed points
Abstract
The flag-major index "fmaj" and the classical length function "" are used to construct two q-analogs of the generating polynomial for the hyperoctahedral group~Bn 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.
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