Polyhedral Groups in $G_2(\mathbb{C})$

Abstract

We classify embeddings of the finite groups $A_4$, $S_4$ and $A_5$ in the Lie group $G_2(\mathbb{C})$ up to conjugation.

arXiv comment6 pages. To appear in the Glasgow Mathematical Journal

References in corpus (6)

• Reduction Groups and Automorphic Lie Algebras
• On the Classification of Automorphic Lie Algebras
• Notes on $G_2$: The Lie algebra and the Lie group
• Higher dimensional Automorphic Lie Algebras
• Automorphic Lie algebras and modular forms
• Hereditary Automorphic Lie Algebras

Cited by in corpus (1)

• A classification of automorphic Lie algebras on complex tori