Ramanujan J., vol. 19, issue 1, May 2009, p. 29-52
Dominique Foata, Guo-Niu Han
SIGNED WORDS AND PERMUTATIONS, V;
A SEXTUPLE DISTRIBUTION
Abstract.
We calculate the distribution of the sextuple statistic over
the hyperoctahedral group B(n) that involves the
flag-excedance and flag-descent numbers ``fexc" and ``fdes,"
the flag-major index ``fmaj," the positive and negative
fixed point numbers ``fix+" and ``fix-" and the
negative letter number ``neg." Several specializations are
considered. In particular, the joint distribution for the
pair (fexc,fdes) is explicitly derived.
foata at math dot u-strasbg dot fr,
guoniu at math dot u-strasbg dot fr
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