Timeline for Tradeoff among symmetries [closed]

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when toggle format	what		by	license	comment
May 10, 2015 at 7:54	history	closed	Joonas Ilmavirta Alex Degtyarev Johannes Hahn Ricardo Andrade Daniel Moskovich		Not suitable for this site
May 9, 2015 at 23:48	vote	accept	Real
May 9, 2015 at 22:13	answer	added	coudy		timeline score: 1
May 9, 2015 at 22:11	comment	added	Terry Tao		If you are not already familiar with the basic theory of Lie groups and Lie algebras, I would recommend starting with a textbook on these topics.
May 9, 2015 at 22:10	comment	added	Terry Tao		The set of symmetries of $X$ (up to null sets) is a closed subgroup (and hence Lie subgroup) of the Lie group $({\bf R}^+ \times O(n)) \ltimes {\bf R}^n$ of conformal affine transformations. Conversely, given such a subgroup, one can look at a partial set of orbits of the group action on ${\bf R}^n$ to obtain a symmetric set with these symmetries. So the question is basically one of classifying the Lie subgroups of the conformal affine group; as far as the continuous symmetries are concerned, this is equivalent to classifying the Lie subalgebras of the conformal affine Lie algebra.
May 9, 2015 at 21:15	review	Close votes
May 10, 2015 at 7:54
May 9, 2015 at 20:51	review	First posts
May 9, 2015 at 20:56
May 9, 2015 at 20:47	history	asked	Real	CC BY-SA 3.0