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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Faithful representations of Leibniz algebras


Author: Donald W. Barnes
Journal: Proc. Amer. Math. Soc. 141 (2013), 2991-2995
MSC (2010): Primary 17A32
Published electronically: May 13, 2013
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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$.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11788-0
PII: S 0002-9939(2013)11788-0
Keywords: Leibniz algebras, saturated formations
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
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.