التفاصيل البيبلوغرافية
| العنوان: |
Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties |
| المؤلفون: |
Panyushev, Dmitri I., Yakimova, Oksana S. |
| سنة النشر: |
2019 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Symplectic Geometry, Mathematics - Representation Theory, 17B63, 14L30, 17B08, 17B20, 22E46 |
| الوصف: |
The purpose of this paper is to bring together various loose ends in the theory of integrable systems. For a semisimple Lie algebra $\mathfrak g$, we obtain several results on completeness of homogeneous Poisson-commutative subalgebras of ${\mathcal S}(\mathfrak g)$ on coadjoint orbits. This concerns, in particular, Mishchenko-Fomenko and Gelfand-Tsetlin subalgebras. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/1902.09221 |
| رقم الانضمام: |
edsarx.1902.09221 |
| قاعدة البيانات: |
arXiv |