The Moore Complex of a Simplicial Cocommutative Hopf Algebra
| Autoři | |
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| Rok publikování | 2021 |
| Druh | Recenzovaný odborný článek |
| Časopis / Zdroj | Theory and Applications of Categories |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.tac.mta.ca/tac/volumes/37/7/37-07abs.html |
| Klíčová slova | Hopf algebra; simplicial object; Moore complex; 2-crossed module |
| Popis | 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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