Séminaire Lotharingien de Combinatoire, vol.
B54a, 2006, 20 pages.
Dominique Foata, Guo-Niu Han
SIGNED WORDS AND PERMUTATIONS, III; THE MACMAHON VERFAHREN
Abstract.
The MacMahon Verfahren is fully exploited to derive
a five-variable generating polynomial over signed permutations,
where the parameters are: ``neg" (number of negative values), ``fdes" (flag
descent number), ``fmaj" (flag major index), ``ifdes" and ``ifmaj"
(fdes and fmaj for the inverse permutation); then a three-variable
generating polynomial over signed words with given letter multiplicities,
where the parameters are ``neg", ``fmaj", and ``fdes".
foata at math.u-strasbg.fr, guoniu at math.u-strasbg.fr
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