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

Alla S. Detinko; Willem A. de Graaf

arxiv: 1905.01853 · v2 · pith:QW2QU6P4new · submitted 2019-05-06 · 🧮 math.RA

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

Alla S. Detinko , Willem A. de Graaf This is my paper

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keywords simplealgebraicalgebrasdensefreegroupssubgroupsapply

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

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