Permutohedral Cones and the Universal Combinatorial Hopf Algebra
Speaker: William Norledge, PSU
Abstract: We describe a new connection between the universal combinatorial Hopf algebra and the system of hyperplanes which are spanned by roots of type A. In particular, we realize the dual universal algebra as an algebra of permutohedral cones. This approach stratifies the algebras such that their (co)enveloping maps manifest geometrically as quotienting out codimensions. The underlying spaces of the resulting Lie (co)algebras are characterized by the so-called Steinmann relations, which appear in the foundations of axiomatic quantum field theory.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm