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Crossed homomorphisms of Lie algebras

Published online by Cambridge University Press:  24 October 2008

Abraham S.-T. Lue
Abraham S.-T. Lue
Affiliation:
King's College, London
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Extract

In an earlier paper (3), a non-abelian cohomology theory (in the dimensions 0 and 1) for associative algebras was developed. One of the objectives was to obtain equivalence classes of crossed homomorphisms by considering inner automorphisms of the coefficient-algebra. This paper is an adaptation of the methods employed there to the case of Lie algebras. Throughout, all our Lie algebras will be over the field of real numbers, and finite-dimensional.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 577 - 581
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Dedecker, P.Le foncteur Horn non-abelien. Notion de poulpe. C.R. Acad. Sci. Paris 253 (1963), 2384–2387.Google Scholar
(2)Jacobson, N.Lie Algebras (Interscience Publishers; New York, 1962).Google Scholar
(3)Lue, A. S.-T.Non-abelian cohomology of associative algebras. Quart. J. Math. Oxford Ser. (2) (Submitted to).Google Scholar