The Moore Complex of a Simplicial Cocommutative Hopf Algebra

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

EMIR Kadir

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

Faculty of Science

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:

You are running an old browser version. We recommend updating your browser to its latest version.