On the combinatorics of descents and inverse descents in the hyperoctahedral group

X. Gao, F. Z. K. Li, L. Wan +1

The elements in the hyperoctahedral group ${\mathfrak{B}}_n$ can be treated as signed permutations with the natural order $\cdots <-2<-1<0<1<2<\cdots$, or as colored permutations with…