%0 Journal Article
%T Hopf-like Algebras and Extended P-B-W Theorems
%A Keqin Liu
%J Mathematics
%D 2010
%I arXiv
%X Based on invariant algebras, we introduce representations$^{6-th}$ of Lie algebras and representations$^{< 4-th>}$ of Leibniz algebras, give the extended P-B-W Theorems in the context of the new representations of Lie algebras and Leibniz algebras, and generalize the Hopf-algebra structure on the enveloping algebras of Lie Algebras.
%U http://arxiv.org/abs/1012.2844v1