University of Minnesota Combinatorics Seminar
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Abstract |
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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.
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