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XXV.—Properties of I-extensions of Anti-commutative Algebras

Published online by Cambridge University Press:  14 February 2012

E. W. Wallace
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Synopsis

S. T. Tsou and A. G. Walker have defined the I-extension of a given Lie algebra as a certain Lie algebra on the Cartesian product of the given algebra and one of its ideals (Tsou 1955). I-extensions have been studied also in connection with metrisable Lie groups and metrisable Lie algebras. The definition can be applied immediately to any anti-commutative algebra, and in this paper properties of such I-extensions are established. A list of all proper I-extensions of dimension not greater than four over a field of characteristic zero is also given together with a set of characters.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 65 , Issue 4 , 1961 , pp. 345 - 357
Copyright
Copyright © Royal Society of Edinburgh 1961

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References

REFERENCES TO LITERATURE

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