The Moore Complex of a Simplicial Cocommutative Hopf Algebra
Category Theory
2021-02-26 v2 Algebraic Topology
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1905.09620,
title = {The Moore Complex of a Simplicial Cocommutative Hopf Algebra},
author = {Kadir Emir},
journal= {arXiv preprint arXiv:1905.09620},
year = {2021}
}
Comments
38 pages, final version