Geodesic
On Derangement Polynomials of Type B
Séminaire lotharingien de combinatoire, Tome 55 (2005-2007)

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Wachs [Proc. Amer. Math. Soc. 106 (1989), 273-278] studied the q-enumeration of derangements in the symmetric group Sn by the major index and obtained a q-analogue of the classical derangement number. We consider in this work the q-enumeration of derangements in the hyperoctahedral group Bn by the flag major index and obtain a q-analogue of the type B derangement number. 

@article{SLC_2005-2007_55_a1,
     author = {Chak-On Chow},
     title = {On {Derangement} {Polynomials} of {Type} {B}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {55},
     year = {2005-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2005-2007_55_a1/}
}
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Chak-On Chow. On Derangement Polynomials of Type B. Séminaire lotharingien de combinatoire, Tome 55 (2005-2007). http://geodesic.mathdoc.fr/item/SLC_2005-2007_55_a1/