On reachable elements and the boundary of nilpotent orbits in simple Lie algebras
On reachable elements and the boundary of nilpotent orbits in simple Lie algebras
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简单李代数中可达元与幂零轨道的边界
DOI：
10.1016/j.bulsci.2004.08.001
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发表时间：
2004
影响因子：
1.3
通讯作者：
D. Panyushev
中科院分区：
文献类型：
--
作者：
D. Panyushev
设g是单李代数。一个元素x∈g被称为可达的，如果它包含在它的中心化子的交换子中。任何可达元素必然是幂零的。我们研究了可达元的各种性质，以及可达性与相应轨道边界的余维数之间的关系。给出了任意幂零轨道边界的一般估计。
Let g be a simple Lie algebra. An element x∈g is said to be reachable, if it is contained in the commutant of its centraliser. Any reachable element is necessarily nilpotent. We study various properties of reachable elements, and a relationship between the property of being reachable and the codimension of the boundary of the corresponding orbit. Some general estimates for the boundary of an arbitrary nilpotent orbit is given.