Algebraic Combinatorics Seminar
UNIVERSITY OF KENTUCKY
ALGEBRAIC COMBINATORICS SEMINAR
845 PATTERSON OFFICE TOWER
"Eulerian binomial and Sheffer posets"
University of Kentucky
Monday, November 21, 2005
3:00 pm, 845 Patterson Office Tower
We completely characterize the factorial functions of Eulerian
binomial posets. For Eulerian Sheffer posets with binomial factorial
function corresponding to the Boolean algebra, there are three
possibilities for the Sheffer factorial function. We end with several
poset constructions, all of which yield the same factorial functions
as the cubical lattice. This shows that classifying Sheffer posets is
a difficult, but interesting question.