局部对角逆极限共轭的Noetherianity
Noetherianity up to conjugation of locally diagonal inverse limits
摘要：
证明了当群序列由对角嵌入组成时，与李代数序列对偶的序列的逆极限在经典代数群的相应序列的正极限的作用下是Noether的.我们还对$\mathbb{N}\times\mathbb{N}$矩阵空间的所有共轭稳定闭子集进行了分类。
英文摘要：
We prove that the inverse limit of the sequence dual to a sequence of Lie algebras is Noetherian up to the action of the direct limit of the corresponding sequence of classical algebraic groups when the sequence of groups consists of diagonal embeddings. We also classify all conjugation-stable closed subsets of the space of $\mathbb{N}\times\mathbb{N}$ matrices.
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