Well, I decided to write my first Wikipedia article, which is on the Lie group . I look up mathematics on Wikipedia a lot, and I’ve also been linking to Wikipedia articles in my blog entries, so I thought I should start giving back.
I’m not a particular expert on , and I wrote the article mainly because I wanted to include the classification of elements into elliptic, parabolic, and hyperbolic, as groundwork for writing articles on isometries of the hyperbolic plane and on the classification of self-homeomorphisms of the torus.
Please let me know if you have any comments or suggestions. If anyone would be willing to help, it could use a better summary of the representation theory (although there is also a whole article on that subject), and could also probably use a section entitled “algebraic structure”. In addition, I wasn’t really confident enough with my algebraic geometry to write anything about the relationship with moduli space.