Timeline for Differential structures on compact Lie groups

5 events

when toggle format	what		by	license	comment
Apr 13, 2017 at 12:58	history	edited	CommunityBot		replaced http://mathoverflow.net/ with https://mathoverflow.net/
Jun 21, 2016 at 14:47	history	edited	Sean Lawton	CC BY-SA 3.0	added 25 characters in body
Jun 20, 2016 at 20:57	comment	added	Claudio Gorodski		I think we do not need the full solution to Hilbert's 5t problem. It is elementary that a continuous homomorphism of Lie groups is automatically smooth. So a second countable locally Euclidean group can have at most one differentiable structure making it into a Lie group (cf. a book like Warner's). Any exotic structure on a Lie group will do, like you said. for instance in $R^4$.
Jun 20, 2016 at 20:55	comment	added	Qiaochu Yuan		You don't need the full strength of Hilbert's 5th problem, just the simpler result that a continuous homomorphism between Lie groups is automatically smooth.
Jun 20, 2016 at 20:50	history	answered	Sean Lawton	CC BY-SA 3.0