# Are Lie Groups Homogeneous Spaces?

Is any Lie Group a homogeneous space?

-
All of them are. –  Alexei Averchenko Mar 12 '11 at 8:03
What definition of homogeneous space are you using where the answer isn't immediate? –  Ryan Budney Mar 12 '11 at 8:14
Thanks, I needed to verify that i understood it correctly. –  sam Mar 12 '11 at 8:17
well it acts on itself, for instance by left/right translation –  yoyo Mar 12 '11 at 16:15