Posets and Hopf Algebras

Mike Zabrocki

York University

October 24,
refreshments at 3:45pm


Within the last few years there has been an interest in the literature on spaces which generalize and are analogous to the algebra of symmetric functions. We will give a survey that will be of interest to a general audience of some of these spaces: the non-commmutative symmetric functions of Gelfand/Krob/Lascoux/Leclerc/Retakh/Thibon/et al., the non-commutative symmetric functions of Rosas/Sagan, the quasi-symmetric functions of Gessel, the Malvenuto-Reutenauer algebra of permutations and a new space which we call the non-commutative quasi-symmetric functions.

The purpose of this talk will be to show how these spaces relate to each other and to describe how posets on the indexing set are used to define bases of these spaces with interesting algebraic properties.

This is joint work with Nantel Bergeron

Speaker's Contact Info: zabrocki(at-sign)mathstat.yorku.ca

Return to seminar home page

Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

Page loaded on October 21, 2003 at 03:21 PM. Copyright © 1998-99, Sara C. Billey. All rights reserved.