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

Alla Detinko, Willem de Graaf

Research output: Contribution to journalArticlepeer-review

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).
Original languageEnglish
Pages (from-to)159-173
Number of pages15
JournalJournal of Algebra
Volume545
Early online date21 Jun 2019
DOIs
Publication statusPublished - 1 Mar 2020
Externally publishedYes

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