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XV.—Bounds for the Indices of Nilpotent and Solvable Lie Algebras*
Published online by Cambridge University Press: 14 February 2012
Synopsis
By examining certain connections between the derivatives and the powers of a Lie algebra, bounds are obtained for the indices of nilpotent Lie algebras over an arbitrary field. The results are used to obtain bounds for the indices of solvable Lie algebras over a field of characteristic zero.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 64 , Issue 2 , 1954 , pp. 200 - 208
- Copyright
- Copyright © Royal Society of Edinburgh 1954