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An embedding theorem for Lie algebras
Authors:Anetta Bajer   Jon F. Carlson
Affiliation:Department of Mathematics, Fordham University, Bronx, New York 10458 ; Department of Mathematics, University of Georgia, Athens, Georgia 30602
Abstract:
In this paper we give a sufficient condition for a restricted enveloping algebra to be quasi-elementary. We also prove that every finite dimensional $p$-nilpotent Lie algebra can be embedded in a finite dimensional $p$-nilpotent quasi-elementary Lie algebra.

Keywords:Restricted enveloping algebra   quasi-elementary Hopf algebra   $p$-nilpotent Lie algebra
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