The f-q-analogue of partially ordered sets

Keith Kohrs
University of Kentucky

Friday, April 22, 2005
4 pm, 845 Patterson Office Tower

Abstract:

There are q-analogues of many objects (factorials, binomial coefficients, Ferrers boards, derivatives, ...). Given a poset P and a function f on the incidence algebra that meets certain requirements, Rodica Simion has developed the notion of an f-q-analogue of P. We will describe this f-q-analogue. In particular, the similarities between f-q-analogues for a given f and q and how this f-q-analogue of P respects the shellability of P under certain conditions.