Room P3.10, Mathematics Building

Kadir Emir, Eskisehir Osmangazi University, Turkey
Simplicial Cocommutative Hopf Algebras

In this talk, we define the Moore complex of any simplicial cocommutative Hopf algebra by using Hopf kernels which are defined quite different from the kernels of groups or various well-known algebraic structures. Furthermore, we will see that these Hopf kernels only make sense in the case of cocommutativity. We also introduce the notion of 2-crossed modules of cocommutative Hopf algebras and continue to talk about its categorical properties such as its relations with simplicial objects, Lie algebras, groups and also the Milnor-Moore theorem, as long as time allows.

Joint work with: João Faria Martins.