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An embedding theorem for Lie algebras

Author(s): Anetta Bajer; Jon F. Carlson
Journal: Proc. Amer. Math. Soc. 127 (1999), 3445-3449.
MSC (1991): Primary 16W30; Secondary 17B30, 17B56
Posted: July 22, 1999
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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.

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Additional Information:

Anetta Bajer
Affiliation: Department of Mathematics, Fordham University, Bronx, New York 10458
Email: bajer@murray.fordham.edu

Jon F. Carlson
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: jfc@sloth.math.uga.edu

DOI: 10.1090/S0002-9939-99-04865-0
PII: S 0002-9939(99)04865-0
Keywords: Restricted enveloping algebra, quasi-elementary Hopf algebra, $p$-nilpotent Lie algebra
Received by editor(s): June 28, 1996
Received by editor(s) in revised form: January 5, 1998
Posted: July 22, 1999
Additional Notes: The second author was partially supported by a grant from NSF
Communicated by: Roe Goodman
Copyright of article: Copyright 1999, American Mathematical Society

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