Template talk:Lie groups

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"Infinite simple Lie groups"[edit]

I don't think this header reflects what the author actually meant. It is not important that the groups themselves are infinite, but the series they appear in is infinite. I would like to change "Infinite simple Lie groups" to "A,B,C, and D series". I'm also noticing that that simple Lie group article is not clear on whether or not the classification is for finite dimensional Lie groups only. Rschwieb (talk) 14:26, 11 March 2012 (UTC)

R.E.B comment ="replace unsourced original research by Dynkin diagrams"[edit]

I find this comment somewhat confusing.

First off, I am flattered that an academic of mathematics (R.E.B.) finds my work to be given the notable reference of "original research". I appreciate the respect of the community.

While I do present "original research" WRT E8 and octonions here [[1]], the Petrie projection of E8 is hardly OR (despite the fact that I have an algorithm that produces an exceptionally beautiful image).

I also find it interesting that he uses "unsourced" when clearly I AM THE AUTHOR thereby clearly sourcing the image.

No worries - we can leave a less interesting "Dynkin diagram" image in its place.

Jgmoxness (talk) 01:50, 13 February 2013 (UTC)

I propose using this (left) original research "thread" perspective of E8 root system: :) But seriously all of them are better than we had before 2007 on Wikipedia, although I'm willing to write to McMullen to ask if a nice scanning of his original hand-drawn one could be copied to Wikipedia[2]! Visualizing the E8 root system John Stembridge did a good attempt and got this started, but the least quality of the options: [3] Tom Ruen (talk) 04:43, 13 February 2013 (UTC)
E8 graph.svg
Gosset 4 21 polytope petrie.svg
I put the old E8 image back. By this logic every image created by a user (perhaps using a program or just some code written by the user to generate the image) that depicts any remotely complicated mathematical object would be OR. Isn't "routine calculation" exempted from OR? Double sharp (talk) 13:36, 13 February 2013 (UTC)
Yes Double sharp, my thoughts exactly. I was concerned that the hundreds of Tom's images might have to be removed. Both he and I use actual x-y projection vectors, which I had determined and shared. This is done by using a dot product against the split real even E8 group vertices. Whereas older versions use hard coded vertex position by rotation algorithms. Tom, it is interesting to note that the thread version used a printed version of mine as a template [[4]].Jgmoxness (talk) 13:53, 13 February 2013 (UTC)
It does seem image generation allows the widest liberty on Wikipedia. I can't judge if using the E8 graph in the template is distractive eye candy or helpful as an abstract visual symbol. A G2 root system graph is more understandable or 3D diagrams: B3/C3 File:Root vectors b3 c3.png. Tom Ruen (talk) 22:10, 13 February 2013 (UTC)