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# Cartan Subalgebras and Tori in Prime Characteristic

Robert Lee Wilson
Proceedings of the American Mathematical Society
Vol. 53, No. 2 (Dec., 1975), pp. 325-327
DOI: 10.2307/2040005
Stable URL: http://www.jstor.org/stable/2040005
Page Count: 3
Let L be a finite dimensional (not necessarily restricted) Lie algebra over a perfect field F of characteristic $p > 0$. Let $\overline L$ be any finite dimensional restricted Lie algebra containing L. The Cartan subalgebras of L are characterized as the centralizers of certain tori in $\overline L$.