An Application of Dumont's Statistic
refreshments at 3:45pm
In 1974, Dumont gave an interpretation of the Eulerian
numbers which extends to a number of statistics on permutations
and on arbitrary words.
We apply one such statistic to a special case
of a result of Stanley concerning the flag h-vectors of
balanced Cohen-Macaulay complexes.
Specifically, we give a bijective
proof that for each distributive lattice J(P) which is a
product of chains, there is a poset Q such that the
f-vector of Q is the h-vector of P. We conjecture that
the result holds for all finite distributive lattices.
Speaker's Contact Info: skan(at-sign)math.mit.edu
Return to seminar home page
Page loaded on April 14, 2000 at 12:03 PM.
Copyright © 1998-99, Sara C. Billey.
All rights reserved.