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Extensions of Lie Algebras andthe Third Cohomology Group
Published online by Cambridge University Press: 20 November 2018
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Cohomology theories of various algebraic structures have been investigated by several authors. The most noteworthy are due to Hochschild, MacLane and Eckmann, Chevalley and Eilenberg, who developed the theory of cohomology groups of associative algebras, abstract groups, and Lie algebras respectively. In this paper we are concerned primarily with a characterization of the third cohomology group of a Lie algebra by its extension properties.
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- Copyright © Canadian Mathematical Society 1953
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