Faithful representations of Leibniz algebras
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- by Donald W. Barnes PDF
- Proc. Amer. Math. Soc. 141 (2013), 2991-2995 Request permission
Abstract:
Let $L$ be a Leibniz algebra of dimension $n$. We prove the existence of a faithful $L$-module of dimension less than or equal to $n+1$.References
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Additional Information
- Donald W. Barnes
- Affiliation: School of Mathematics and Statistics F07, University of Sydney, NSW 2006, Australia
- Email: donwb@iprimus.com.au
- Received by editor(s): November 17, 2011
- Published electronically: May 13, 2013
- Additional Notes: This work was done while the author was an Honorary Associate of the School of Mathematics and Statistics, University of Sydney
- Communicated by: Kailash C. Misra
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 2991-2995
- MSC (2010): Primary 17A32
- DOI: https://doi.org/10.1090/S0002-9939-2013-11788-0
- MathSciNet review: 3068951