Rationality of adjoint orbits

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-03-26 DOI:10.4310/pamq.2024.v20.n1.a11

Vladimir L. Popov

引用次数: 0

Abstract

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 homogeneous affine Hamiltonian $G$-varieties (which we classify).

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邻接轨道的合理性

我们证明，任何连通的还原代数群 $G$ 的邻接表示的每个轨道都是有理代数品种。对于复杂简单相连的半简单 $G$，这意味着同质仿射哈密顿 $G$ 变体的合理性（我们对其进行了分类）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.