表示和细三角形的退化

D. Cooper
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引用次数: 0

摘要

有一个有限生成群的表示空间的紧化成具有$\ δ $-细三角形的所有空间的等距群。理想的点是在$\mathbb R$-树上的动作。它是关于表示极限的Culler-Morgan-Shalen理论在$\operatorname{SL}(2,{\mathbb C})$和更一般的$\operatorname{O}(n, 1)$中的一个几何重新表述和推广。这篇论文写于90年代初,但从未发表过。
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Degenerations of representations and thin triangles
There is a compactification of the space of representations of a finitely generated group into the groups of isometries of all spaces with $\Delta$-thin triangles. The ideal points are actions on $\mathbb R$-trees. It is a geometric reformulation and extension of the Culler-Morgan-Shalen theory concerning limits of representations into $\operatorname{SL}(2,{\mathbb C})$ and more generally $\operatorname{O}(n, 1)$. This paper was written and circulated in the early 90's, but never published.
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