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학술저널

Cartan Subalgebras of a Semi-restricted Lie Algebra

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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 ≅ sl(2) or W(1:1). And we study that if L is semi-simple but not simple and H is 2-dimensional, then H is a torus.

ABSTRACT

1. Preliminaries

2. The semi-restricted Lie algebra

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