Israel J. Math., 163, no. 1, 2008, p. 217-240.
Dominique Foata, Guo-Niu Han
SIGNED WORDS AND PERMUTATIONS, IV;
FIXED AND PIXED POINTS
Abstract.
The flag-major index ``fmaj" and the classical length function
``l" 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.
foata at math dot u-strasbg dot fr,
guoniu at math dot u-strasbg dot fr
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