Hopf Structures on the Multiplihedra

We investigate algebraic structures that can be placed on vertices of the multiplihedra, a family of polytopes originating in the study of higher categories and homotopy theory. Most compelling among these are two distinct structures of a Hopf module over the Loday

• Type: Journal
• Year: 2010
• Where: SIAMDM
• Authors: Stefan Forcey, Aaron Lauve, Frank Sottile
• Keywords: Algebraic Structures, Hopf Module, Loday­Ronco Hopf Algebra, SIAMDM 2010