Closure ordering and the Kostant-Sekiguchi correspondence

被引：19

作者：

Barbasch, D

Sepanski, MR

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14850 USA

[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 01期

关键词：

Konstant-Sekiguchi; nilpotent orbits;

D O I：

10.1090/S0002-9939-98-04090-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a real semisimple Lie group with Lie algebra s = t + p. The Kostant-Sekiguchi correspondence is a bijection between nilpotent S orbits on s and nilpotent K-C orbits on P-C. In this note we prove that the closure relations among nilpotent orbits are preserved under the Kostant-Sekiguchi correspondence. The techniques rely on work Of M. Vergne and P. Kronheimer.

引用

页码：311 / 317

页数：7

共 6 条

[1] NAHM EQUATIONS AND THE CLASSIFICATION OF MONOPOLES [J].