تقرير
On the invariants of the full symmetric Toda system
| العنوان: | On the invariants of the full symmetric Toda system |
|---|---|
| المؤلفون: | Chernyakov, Yu. B., Sharygin, G. I, Sorin, A. S. |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics |
| الوصف: | In this paper we continue our study of the geometric properties of full symmetric Toda systems from \cite{CSS14,CSS17,CSS19}. Namely we describe here a simple geometric construction of a commutative family of vector fields on compact groups, that include the Toda vector field, i.e. the field, which generates the full symmetric Toda system associated with the Cartan decomposition of a semisimple Lie algebra. Our construction makes use of the representations of the semisimple algebra and does not depend on the splitness of the Cartan pair. It is very close to the family of invariants and semiinvariants of the Toda system associted with $SL_n$, introduced in \cite{CS}. Comment: 22 pages, 5 tables |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1910.04789 |
| رقم الأكسشن: | edsarx.1910.04789 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |