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

页码：1126 / 1128

页数：3

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