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Hopf algebras with one grouplike element

Hopf algebras with one grouplike element

Introduction.We are interested in the coalgebra structure of cocommutative Hopf algebras.Over an algebraically closed field a cocommutative Hopf algebra K with antipode is of the form 77 ® Y(G) (as a coalgebra) where Y(G) is the group algebra of G the group of grouplike elements-elements of K where dg=g ® …