COMPLEXITY AND NILPOTENT ORBITS

被引：61
作者：
PANYUSHEV, DI
机构：
[1] Moscow Radioelectronics and Automation Institute, Moscow, 117454, Prosp. Vernadskogo
来源：
MANUSCRIPTA MATHEMATICA | 1994年 / 83卷 / 3-4期
关键词：
D O I：
10.1007/BF02567611
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New formulas for the complexity and the rank of an arbitrary homogeneous space of a reductive group are given. These completely reduce the problem to finding of stabilizers of general position in linear representations of reductive groups. As an application a description of spherical (i.e. of complexity zero) nilpotent orbits is obtained and it is proved that the complexity and the rank of orbits are constant along the sheets of the adjoint representation. © 1994 Springer-Verlag.
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页码：223 / 237
页数：15
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