论文标题
广义真实正交组的Lie代数中的伴随轨道
Adjoint orbits in the Lie algebra of the generalized real orthogonal group
论文作者
论文摘要
令$（v，γ）$为一个真正的有限维矢量空间，其对称双线性形式$γ$，其内核被非零向量跨越。 $（v，γ）$的一组可逆的真实线性映射本身形成了一个称为广义正交组的谎言组。本文找到了广义正交组在其代数上的伴随作用的每个轨道的独特代表。
Let $(V,γ)$ be a real finite dimensional vector space with a symmetric bilinear form $γ$ whose kernel is spanned by a nonzero vector. The set of invertible real linear mappings of $(V, γ)$ into itself forms a Lie group called the generalized orthogonal group. This paper finds a unique representative for each orbit of the adjoint action of the generalized orthogonal group on its Lie algebra.
