An embedding theorem for Lie algebras
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- by Anetta Bajer and Jon F. Carlson PDF
- Proc. Amer. Math. Soc. 127 (1999), 3445-3449 Request permission
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.References
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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
- MR Author ID: 45415
- Email: jfc@sloth.math.uga.edu
- Received by editor(s): June 28, 1996
- Received by editor(s) in revised form: January 5, 1998
- Published electronically: July 22, 1999
- Additional Notes: The second author was partially supported by a grant from NSF
- Communicated by: Roe Goodman
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3445-3449
- MSC (1991): Primary 16W30; Secondary 17B30, 17B56
- DOI: https://doi.org/10.1090/S0002-9939-99-04865-0
- MathSciNet review: 1605919