The Moore Complex of a Simplicial Cocommutative Hopf Algebra
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tac.mta.ca/tac/volumes/37/7/37-07abs.html |
| Keywords | Hopf algebra; simplicial object; Moore complex; 2-crossed module |
| Description | We study the Moore complex of a simplicial cocommutative Hopf algebra through Hopf kernels. The most striking result to emerge from this construction is the coherent definition of 2-crossed modules of cocommutative Hopf algebras. This unifies the 2-crossed module theory of groups and of Lie algebras when we take the group-like and primitive functors into consideration. |
| Related projects: |