论文标题

表示和薄三角的退化

Degenerations of representations and thin triangles

论文作者

Cooper, Daryl

论文摘要

有限生成的组的表示空间是一个压缩,分为具有$δ$ - 薄三角形的所有空间的异构体组。理想的观点是$ \ mathbb r $ -retes上的动作。这是Culler-Morgan-Shalen理论的几何重新重新制定和扩展,该理论将表示限制到$ \ operatatorName {sl}(2,{\ Mathbb c})$和更一般而言的$ \ propatatorNorname {o}(o}(o}(n,1)$)。本文是在90年代初编写和分发的,但从未发表过。

There is a compactification of the space of representations of a finitely generated group into the groups of isometries of all spaces with $Δ$-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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