Geodesic
The Moore Complex of a Simplicial Cocommutative Hopf Algebra
Theory and applications of categories, Tome 37 (2021), pp. 189-226 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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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Classification : 16T05, 16S40, 18G45, 55U10, 55U15
Keywords: Hopf algebra, simplicial object, Moore complex, 2-crossed module 
@article{TAC_2021_37_a6,
     author = {Kadir Emir},
     title = {The {Moore} {Complex} of a {Simplicial}  {Cocommutative} {Hopf} {Algebra}},
     journal = {Theory and applications of categories},
     pages = {189--226},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a6/}
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Kadir Emir. The Moore Complex of a Simplicial  Cocommutative Hopf Algebra. Theory and applications of categories, Tome 37 (2021), pp. 189-226. http://geodesic.mathdoc.fr/item/TAC_2021_37_a6/