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On the Extensions of Lie Algebras

Published online by Cambridge University Press:  20 November 2018

Richard E. Block*
Affiliation:
University of Illinois, Urbana, Illinois
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In this paper we give some results on the extensions of Lie algebras, with emphasis on the case of prime characteristic, although part of the paper is also of interest at characteristic 0. An extension of a Lie algebra L is a pair (E, π), where £ is a Lie algebra and π is a homomorphism of E onto L. The kernel K of the extension is ker π.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

This research was supported in part by the National Science Foundation under grant GP5949; presented in part to the American Mathematical Society in April 1962.

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