\(q\)-Eulerian polynomials arising from Coxeter groups
The author generalizes the classical Eulerian numbers and Eulerian polynomials by the enumeration of a finite Coxeter system with respect to the number of descents. Natural \(q\)-analogues are given. The results are relevant for computing Betti numbers of certain toric projective varieties.
scientific article; zbMATH DE number 683265