Weyl-Mahonian Statistics for Weighted Flags of Type A-D

Roland Bacher (1)

1 IF - Institut Fourier

We relate properties of weighted flags (or multiflags) of type AD to statistics of the corresponding Weyl groups. For type A, we recover the Mahonian statistics on symmetric groups. Finally, we sketch briefly an easy extension incorporating statistics for so-called Euler-polynomials.

Domaines: Combinatoire [math.CO]; Théorie des représentations [math.RT]

Roland Bacher. Weyl-Mahonian Statistics for Weighted Flags of Type A-D. 2018. ⟨hal-01917934⟩