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arXiv · 1012.2844

Hopf-like Algebras and Extended P-B-W Theorems

Keqin Liu
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Abstract

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.

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Keqin Liu. 2010-12-13. Hopf-like Algebras and Extended P-B-W Theorems. https://arxiv.org/abs/1012.2844

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