Mathematics – Rings and Algebras
Scientific paper
2010-12-13
Mathematics
Rings and Algebras
12 pages
Scientific paper
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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