具有有限维中心化子的线性李代数
Linear Lie algebras with finite dimensional centralizers
摘要：
利用线性李群的不变量和相对不变量，给出了线性李群的李代数的多项式中心化子的有限维或无限维的判别准则。在有限维的情况下，一些应用规范形式和某些方程的基本解决方案。
英文摘要：
We give criteria for finite dimensionality or infinite dimensionality of the polynomial centralizer of the Lie algebra of a linear Lie group, in terms of invariants and relative invariants of the group. In the finite dimensional scenario some applications to normal forms and to certain equations with fundamental solutions are presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
