5 citations · 5 across the 2 of their papers we have counts for
3 papers
math.CO2025
Combinatorics of descent algebras and graph coverings
Philippe Biane
We give a direct combinatorial proof that the product of two descent classes in a symmetric group is a sum of descent classes. The proof is based on the fact that the group product…
math.CO2011★ 5 cited
Doubly-refined enumeration of Alternating Sign Matrices and determinants of 2-staircase Schur functions
Philippe Biane, Luigi Cantini, Andrea Sportiello
We prove a determinantal identity concerning Schur functions for 2-staircase diagrams lambda=(ln+l',ln,l(n-1)+l',l(n-1),...,l+l',l,l',0). When l=1 and l'=0 these functions are rela…
math.CO2005
On the formula of Goulden and Rattan for Kerov polynomials
Philippe Biane
We give a simple proof of an explicit formula for Kerov polynomials. This formula is closely related to a formula of Goulden and Rattan.