Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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Lie Algebras with all $\underline{1}$-filtrations

  • Jung, K.S. (Department of Mathematics Keonyang University)
  • Received : 1994.06.16
  • Published : 1994.06.30
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Abstract

Let L be a Lie algebra over an algebraically closed field F of chracteristic p > 0 which has an $\underline{1}$-filtration. We prove that W(1;$\underline{1}$) is the only restricted simple Lie algebra having an $\underline{1}$-filtration. And we show that the even dimensional Lie algebra can not have an $\underline{1}$-filtration.

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