Publication details

The Moore Complex of a Simplicial Cocommutative Hopf Algebra


EMIR Kadir

Year of publication 2021
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

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.
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