University of Minnesota Combinatorics Seminar
Friday, March 7, 2014
3:35pm in 570 Vincent Hall



Posets, Pieri Operators and Positivity

Carolina Benedetti

Michigan State


Abstract

In this talk we will see how Pieri-like rules for certain combinatorial Hopf algebras (CHA's) can be encoded using labelled posets. Each interval in these labelled posets give rise to a (quasi)symmetric function and our motivation is to provide a combinatorial proof for the Schur positivity of such function. In particular, we will see how the Pieri rule for dual k-schur functions can be studied using a labelled version of the affine Bruhat order. This is joint work with N. Bergeron.