تقرير
Standard automorphisms of semisimple Lie algebras and their relations
| العنوان: | Standard automorphisms of semisimple Lie algebras and their relations |
|---|---|
| المؤلفون: | Reynoso-Mercado, David |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 17Bxx, 17B10 |
| الوصف: | 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. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.15256 |
| رقم الأكسشن: | edsarx.2401.15256 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |