Scholarlink

In the case of complex symplectic and orthogonal groups, we find \((\mathfrak {g}, K)-\) modules with the property that their \(K-\) structure matches the structure of regular functions on the closures of nilpotent orbits. This establishes a version of the Orbit Method of Kirillov-Kostant-Souriau as proposed by Vogan. In the process, we give another proof of the classification of nilpotent orbits with normal closure in the Lie algebra of a classical group first established by Kraft-Procesi.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Admissible Modules and Normality of Classical Nilpotent Orbits

  • 章节

  • 发表日期：

    2025年

查看全文
  • Dan Barbasch,
  • Kayue Daniel Wong

摘要

In the case of complex symplectic and orthogonal groups, we find \((\mathfrak {g}, K)-\) modules with the property that their \(K-\) structure matches the structure of regular functions on the closures of nilpotent orbits. This establishes a version of the Orbit Method of Kirillov-Kostant-Souriau as proposed by Vogan. In the process, we give another proof of the classification of nilpotent orbits with normal closure in the Lie algebra of a classical group first established by Kraft-Procesi.