0-Hecke algebra actions on flags and coinvariantsAlgebra & Discrete Mathematics
|Jia Huang, University of Minnesota
|Fri, Oct 1 2010, 2:10PM
A classical result of P.A. MacMahon says that two important permutation statistics, the inversion number and the major index, are equidistributed over permutations that have a fixed descent set for their inverse.
This talk will explain algebraic manifestations of this result, related to the action of the 0-Hecke algebra for the symmetric group on complete flags of subspaces over finite fields and on coinvariant algebras.