University of Minnesota Combinatorics Seminar
Friday, September 24, 2010
3:35pm in 570 Vincent Hall



0-Hecke algebra actions on flags and coinvariants

Jia Huang

Univ. of Minnesota


Abstract

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.