Gradings of positive rank on simple Lie algebras
Gradings of positive rank on simple Lie algebras
复制标题
简单李代数的正秩分级
DOI：
10.1007/s00031-012-9196-3
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发表时间：
2012
影响因子：
0.7
通讯作者：
B. Gross
中科院分区：
文献类型：
--
作者：
Mark Reeder;P. Levy;J. Yu;B. Gross
我们完成了特征为零或不太小的代数闭域k上单代数群的李代数的正秩分次的分类，并确定了每种情况下的小Weyl群。我们还对稳定分次进行了分类，证明了Popov关于Kostant截面存在的猜想。
We complete the classification of positive rank gradings on Lie algebras of simple algebraic groups over an algebraically closed field k whose characteristic is zero or not too small, and we determine the little Weyl groups in each case. We also classify the stable gradings and prove Popov’s conjecture on the existence of a Kostant section.