论文标题
伴随轨道的合理性
Rationality of adjoint orbits
论文作者
论文摘要
我们证明，任何连接的还原代数组$ g $的伴随表示的每个轨道都是一个合理的代数品种。对于复杂的简单连接的半圣经$ g $，这意味着Aggine Hamiltonian $ g $ -Varieties（我们对此进行分类）的合理性。
We prove that every orbit of the adjoint representation of any connected reductive algebraic group $G$ is a rational algebraic variety. For complex simply connected semisimple $G$, this implies rationality of affine Hamiltonian $G$-varieties (which we classify).
