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Uniqueness theorems for left-symmetric enveloping algebras

Published online by Cambridge University Press:  24 October 2008

J. R. Bolgar
J. R. Bolgar
Affiliation:
Department of Mathematical Sciences, Goldsmiths' College, University of London, New Cross, London SE14 6NW e-mail maa01jb@gold.ac.uk
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Abstract

Let L be a Lie algebra over a field of characteristic zero. We study the uni versai left-symmetric enveloping algebra U(L) introduced Dan Segal in [9]. We prove some uniqueness results for these algebras and determine their automorphism groups, both as left-symmetric algebras and as Lie algebras.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 2 , August 1996 , pp. 193 - 206
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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