Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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Cartan Subalgebras of a Semi-restricted Lie Algebra

  • Received : 1993.06.30
  • Published : 1993.06.30
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Abstract

In this paper we show that if a semi-restricted Lie algebra L has an one dimensional toral Cartan subalgebra, then L is simple and $L\simeq_-sl(2)$ or $W(1:\underline{1})$. And we study that if L is simple but not simple and H is 2-dimensional, then H is a torus.

Keywords

Acknowledgement

Supported by : Korea Reasearch Foundation