Geodesic
On Some Analogues of Descent Numbers and Major Index for the Hyperoctahedral Group
Séminaire lotharingien de combinatoire, 61A (2009-2011) 
Riccardo Biagioli; Jiang Zeng. On Some Analogues of Descent Numbers and Major Index for the Hyperoctahedral Group. Séminaire lotharingien de combinatoire, 61A (2009-2011). http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a10/
@article{SLC_2009-2011_61A_a10,
     author = {Riccardo Biagioli and Jiang Zeng},
     title = {On {Some} {Analogues} of {Descent} {Numbers} and {Major} {Index} for the {Hyperoctahedral} {Group}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2009-2011},
     volume = {61A},
     url = {http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a10/}
}
TY  - JOUR
AU  - Riccardo Biagioli
AU  - Jiang Zeng
TI  - On Some Analogues of Descent Numbers and Major Index for the Hyperoctahedral Group
JO  - Séminaire lotharingien de combinatoire
PY  - 2009-2011
VL  - 61A
UR  - http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a10/
ID  - SLC_2009-2011_61A_a10
ER  - 
%0 Journal Article
%A Riccardo Biagioli
%A Jiang Zeng
%T On Some Analogues of Descent Numbers and Major Index for the Hyperoctahedral Group
%J Séminaire lotharingien de combinatoire
%D 2009-2011
%V 61A
%U http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a10/
%F SLC_2009-2011_61A_a10

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We give a new description of the flag major index, introduced by Adin and Roichman, by using a major index defined by Reiner. This allows us to establish a connection between an identity of Reiner and some more recent results due to Chow and Gessel. Furthermore we generalize the main identity of Chow and Gessel by computing the four-variate generating series of descents, major index, length, and number of negative entries over Coxeter groups of type B and D.