Geodesic
Signed Words and Permutations, III: the MacMahon Verfahren
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007) 
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/
@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},
     year = {2006-2007},
     volume = {54},
     url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a0/}
}
TY  - JOUR
AU  - Dominique Foata
AU  - Guo-Niu Han
TI  - Signed Words and Permutations, III: the MacMahon Verfahren
JO  - Séminaire lotharingien de combinatoire
PY  - 2006-2007
VL  - 54
UR  - http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a0/
ID  - SLC_2006-2007_54_a0
ER  - 
%0 Journal Article
%A Dominique Foata
%A Guo-Niu Han
%T Signed Words and Permutations, III: the MacMahon Verfahren
%J Séminaire lotharingien de combinatoire
%D 2006-2007
%V 54
%U http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a0/
%F SLC_2006-2007_54_a0

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".