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), G2(C).
2-Generation of simple Lie algebras and free dense subgroups of algebraic groups / Detinko, A. S.; de Graaf, W. A.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 545:(2020), pp. 159-173. [10.1016/j.jalgebra.2019.06.012]
2-Generation of simple Lie algebras and free dense subgroups of algebraic groups
de Graaf W. A.
2020-01-01
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), G2(C).File in questo prodotto:
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