Algebraic Combinatorics Seminar - Lucia Rotheray

Title: Incidence bialgebras of monoidal categories

Abstract:

We begin with Joni and Rota's definition of the incidence coalgebra of a category or partially ordered set and then discuss some cases where a monoidal product on a category turns this coalgebra into a bialgebra. We will see that some familiar combinatorial Hopf algebras in this way, either directly or as quotient bialgebras.