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

 

Lie algebra representations of dimension $ p-1$


Author: Helmut Strade
Journal: Proc. Amer. Math. Soc. 41 (1973), 419-424
MSC: Primary 17B20
MathSciNet review: 0330247
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Abstract: A semisimple Lie algebra over an algebraically closed field of characteristic $ p > 2$ admitting a faithful representation of dimension $ p - 1$ is either a direct sum of classical algebras or the Witt algebra.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0330247-8
PII: S 0002-9939(1973)0330247-8
Article copyright: © Copyright 1973 American Mathematical Society