arXiv Open Access 2024

Standard automorphisms of semisimple Lie algebras and their relations

David Reynoso-Mercado

Lihat Sumber

Abstrak

Let $\mathfrak{g}$ be the simple Lie algebra of square matrices $(n+1)\times (n+1)$ with zero trace. There are certain relations concerning standard automorphisms that are considered ``folklore". One can find a complete proof of these in Millson and Toledano Laredo's work [Transformation Groups, Vol. 10, No. 2, 2005, pp. 217-254], but said proof is based on topological arguments which are non-trivial. The aim of this work is to verify these relations in an elementary way.

Topik & Kata Kunci

math.RA

Penulis (1)

David Reynoso-Mercado

Format Sitasi

APA MLA BibTeX

Reynoso-Mercado, D. (2024). Standard automorphisms of semisimple Lie algebras and their relations. https://arxiv.org/abs/2401.15256

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓