You can read the following paper about the history of E8 representation computation:
http://atlas.math.umd.edu/kle8.narrative.html A large part of the software was written by my late colleague Fokko DuCloux: http://www.aimath.org/E8/ducloux.html The entry for the software his here: http://www.liegroups.org/
The code by DuCloux his pure C++ (very beautiful programing !), and took a huge amount of coding time to him. For E8, the problem was to find a computer with enough memory (about 100 GB), evenf is (read the references) it was possible to divide the complexity by 2. The term supercomputer is a bit misused: this is a classical computer, with a large amount of memory. The code is not parallelized. The Sage group owned such a computer at these times.
t.d. Le 23/01/2011 05:56, David Joyner a écrit :
On Sat, Jan 22, 2011 at 10:12 PM, michel paul<[email protected]> wrote:In The Geometry of Everything there was the mention of E8. In the E8 description, in the section called The E8 Calculation, there is a line:"In the end the calculation took about 77 hours on the supercomputer Sage. "I was really curious that there was a 'supercomputer' called 'Sage', and when I clicked the link, well, you get the Sage homepage! So, I was wondering, is it true that Sage was used in mapping E8? Or isTrue. For example, see some of the articles linked near the bottom of the wiki page http://wiki.sagemath.org/SAGE_in_the_Newsthere a mistake somewhere? I want to be able to accurately state this to my classes (and the math department). In making the case for the importance of a computational theme in the current math curriculum, I think this could be cool. No one's individual mind can contain E8. The mathematical objects being studied these days are too complex to be contained in a merely human mind. We need the computer to be able to perceive these kinds of objects. The computer in math these days is like the telescope in astronomy or the microscope in biology. Thanks, Michel -- "Computer science is the new mathematics." -- Dr. Christos Papadimitriou -- You received this message because you are subscribed to the Google Groups "sage-edu" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/sage-edu?hl=en.
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