Nilpotent orbits in classical Lie algebras over F2n and the Springer correspondence

被引：0
|
作者：
Xue, Ting [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2008年 / 105卷 / 04期
关键词：
D O I：
10.1073/pnas.0709626104
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We give the number of nilpotent orbits in the Lie algebras of orthogonal groups under the adjoint action of the groups over F-2n. Let G be an adjoint algebraic group of type B, C or D defined over an algebraically closed field of characteristic 2. We construct the Springer correspondence for the nilpotent variety in the Lie algebra of G.
引用
收藏
页码：1126 / 1128
页数：3
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