Geodesic
On Some Analogues of Descent Numbers and Major Index for the Hyperoctahedral Group
Séminaire lotharingien de combinatoire, 61A (2009-2011)

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. 

@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},
     publisher = {mathdoc},
     volume = {61A},
     year = {2009-2011},
     url = {http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a10/}
}
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%U http://geodesic.mathdoc.fr/item/SLC_2009-2011_61A_a10/
%F SLC_2009-2011_61A_a10
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/