From cca51799a95ab64faa3f0dfb841883c2852037d4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Sun, 4 Apr 2021 16:11:42 +0200 Subject: tangentialvektoren von o(n), sl_n --- buch/chapters/60-gruppen/images/kartenkreis.tex | 11 +++++++---- 1 file changed, 7 insertions(+), 4 deletions(-) (limited to 'buch/chapters/60-gruppen/images/kartenkreis.tex') diff --git a/buch/chapters/60-gruppen/images/kartenkreis.tex b/buch/chapters/60-gruppen/images/kartenkreis.tex index 8f2d9d5..4f19937 100644 --- a/buch/chapters/60-gruppen/images/kartenkreis.tex +++ b/buch/chapters/60-gruppen/images/kartenkreis.tex @@ -62,12 +62,13 @@ \node at (1.6,-1.6) {$\varphi_{14}$}; \node at (-1.24,1.32) - [left] {$\varphi_2\circ\varphi_4^{-1}(x)=\sqrt{1-x^2}$}; -\node at (-1.6,-1.6) {$\varphi_{42}$}; + [left] {$\varphi_2\circ\varphi_3^{-1}(x)=\sqrt{1-x^2}$}; +\node at (-1.6,1.6) {$\varphi_{23}$}; \node at (-1.18,-1.28) [left] {$\varphi_4\circ\varphi_2^{-1}(y)=-\sqrt{1-y^2}$}; -\node at (-1.6,1.6) {$\varphi_{23}$}; +\node at (-1.6,-1.6) {$\varphi_{42}$}; + \foreach \y in {0.1,0.3,...,0.9}{ \draw[->,color=red,shorten >= 0.1cm,shorten <= 0.3cm] @@ -90,7 +91,9 @@ ({-\x},{-sqrt(1-\x*\x)}) -- ({-\x},-1.5); } -\draw[color=gray!20,line width=3pt] (0,0) circle[radius=1]; +%\draw[color=gray!50,line width=3pt] (0,0) circle[radius=1]; +\draw[color=yellow!30,line width=3pt] (0,0) circle[radius=1]; +\node[color=yellow] at ({1/sqrt(2)},{1/sqrt(2)}) [above right] {$S^1$}; \def\r{1.02} -- cgit v1.2.1