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

JOURNAL OF ALGEBRA

卷:545

Article

Detinko, Alla S.¹  de Graaf, Willem A.² 

[1] Univ St Andrews, Sch Comp Sci, St Andrews, Fife, Scotland

[2] Univ Trento, Dipartimento Matemat, Trento, Italy

关键词: Semisimple Lie algebras;    Algebraic groups;    Free dense subgroups;   

DOI  :  10.1016/j.jalgebra.2019.06.012

来源: Elsevier

【 摘 要 】

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). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free