Signed Words and Permutations, III: the MacMahon Verfahren
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
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".
@article{SLC_2006-2007_54_a0,
author = {Dominique Foata and Guo-Niu Han},
title = {Signed {Words} and {Permutations,} {III:} the {MacMahon} {Verfahren}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {54},
year = {2006-2007},
url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a0/}
}
Dominique Foata; Guo-Niu Han. Signed Words and Permutations, III: the MacMahon Verfahren. Séminaire lotharingien de combinatoire, Tome 54 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a0/