Find all connected subgroups of \(\mathrm {SL}_2(\mathbb {R})\) that contain the group \[ V=\{g\in \mathrm {SL}_2(\mathbb {R})\mid g_{1,2}=0\text { and }g_{1,1}=g_{2,2}=1\}. \]
Question
Math 6510 • Differentiable Manifolds
Summer 2017 • Question 5
Question
Summer 2017 • Question 5
Find all connected subgroups of \(\mathrm {SL}_2(\mathbb {R})\) that contain the group \[ V=\{g\in \mathrm {SL}_2(\mathbb {R})\mid g_{1,2}=0\text { and }g_{1,1}=g_{2,2}=1\}. \]