Curve Selection Lemma for semianalytic sets and conjugacy classes of finite order in Lie groups

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dc.creatorAn, Jinpeng
dc.creatorWang, Zhengdong
dc.date2005-06-09
dc.date2005-09-18
dc.date.accessioned2026-07-07T06:18:08Z
dc.date.available2026-07-07T06:18:08Z
dc.descriptionUsing a strong version of the Curve Selection Lemma for real semianalytic sets, we prove that for an arbitrary connected Lie group $G$, each connected component of the set $E_n(G)$ of all elements of order $n$ in $G$ is a conjugacy class in $G$. In particular, all conjugacy classes of finite order in $G$ are closed. Some properties of connected components of $E_n(G)$ are also given.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0506160
dc.identifierhttp://arxiv.org/abs/math/0506160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94636
dc.subjectGroup Theory
dc.subjectAlgebraic Geometry
dc.subject22E15; 14P15
dc.titleCurve Selection Lemma for semianalytic sets and conjugacy classes of finite order in Lie groups
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