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

2-generation of simple Lie algebras and free dense subgroups of algebraic groups (Q2282989)

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2-generation of simple Lie algebras and free dense subgroups of algebraic groups
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    2-generation of simple Lie algebras and free dense subgroups of algebraic groups (English)
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    27 December 2019
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    In the paper under review the authors provide ``a method to construct free dense subgroups of rank \(2\) of simple algebraic groups. Using the method they obtain infinite series of rank \(2\) free dense subgroups in a number of simple algebraic groups, including \(\mathrm{SL}(n,\mathbb{C})\), \(\mathrm{Sp}(n,\mathbb{C})\), \(G_2(\mathbb{C})\).
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    semisimple Lie algebras
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    algebraic groups
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    free dense subgroups
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