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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