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arXiv · 1905.01853

2-generation of simple Lie algebras and free dense subgroups of algebraic groups

Alla S. Detinko·Willem A. de Graaf
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Abstract

We construct generating pairs of simple Lie algebras in characteristic zero. We apply this construction to exhibit infinite series of 2-generator Zariski dense subgroups that are free of rank 2 of the simple algebraic groups SL(n, C), Sp(n, C), G_2(C).

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Alla S. Detinko, Willem A. de Graaf. 2019-05-14. 2-generation of simple Lie algebras and free dense subgroups of algebraic groups. https://arxiv.org/abs/1905.01853

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