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0-Hecke algebra actions on flags and coinvariantsAlgebra & 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
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.