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arXiv · 0806.4496

Generators of simple Lie algebras II

Jean-Marie Bois
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Abstract

This paper is a continuation of earlier work on generators of simple Lie algebras in arbitrary characteristic (see arXiv:0708.1711). We show that, in contrast to classical Lie algebras, simple graded Lie algebras of Cartan type S,H or K never enjoy the 'one-and-a-half generation' property. The methods rely on a study of centralisers in Cartan type Lie algebras.

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Jean-Marie Bois. 2008-06-27. Generators of simple Lie algebras II. https://arxiv.org/abs/0806.4496

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