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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 |
Description
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.