Poisson交换子代数与非正则余伴轨道和旗簇上的完全可积性
Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties
摘要：
本文的目的是把可积系统理论中的各种未完成的部分集中起来。对于半单李代数$\mathfrak g$，得到了${\mathcal S}(\mathfrak g)$的齐次Poisson交换子代数在余伴随轨道上的完备性的几个结果.这涉及到，特别是，Mishchenko-Fomenko和Gelfand-Tsetlin子代数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
