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On the compact real form of the Lie algebra ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20151023034029556-0472:S030500410999020X_char1.gif?pub-status=live)
2
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20151023034029556-0472:S030500410999020X_char1.gif?pub-status=live)
Published online by Cambridge University Press: 29 October 2009
Abstract
We give an elementary construction of the compact real form of the Lie algebra 2. This construction exhibits the group 23·L3(2) as a group of automorphisms. We also show that there is a unique 14-dimensional real Lie algebra invariant under the action of this group.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 148 , Issue 1 , January 2010 , pp. 87 - 91
- Copyright
- Copyright © Cambridge Philosophical Society 2009
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