Timeline for Morphisms between fundamental groups of Lie groups
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 10, 2016 at 15:01 | answer | added | William of Baskerville | timeline score: 1 | |
| Aug 31, 2016 at 18:30 | answer | added | Qiaochu Yuan | timeline score: 2 | |
| Aug 31, 2016 at 18:19 | comment | added | Qiaochu Yuan | But if $G$ is simple in addition to being compact and connected then $\pi_1(G)$ is finite, so there also aren't any morphisms $\pi_1(G) \to \mathbb{Z}$ either... | |
| Aug 31, 2016 at 14:12 | comment | added | Jens Reinhold | Since the circle is abelian, every morphism $G \to \mathbb T^1$ factors through the abelianization of $G$, so if $G$ is simple every such morphism is constant! | |
| Aug 31, 2016 at 13:32 | comment | added | user1688 | It's wrong for non-compact groups, $SL_2({\mathbb R})$ being a counter example. | |
| Aug 31, 2016 at 10:23 | history | asked | William of Baskerville | CC BY-SA 3.0 |