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0-Hecke algebra actions on flags and coinvariants

Algebra & Discrete Mathematics

Speaker: Jia Huang, University of Minnesota
Location: 1147 MSB
Start time: 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.