Monday, March 29, 2010

Affine root systems

Currently I'm working on my PhD thesis. It isn't finished yet, but I decided the following images were worth a sneak peak:


Besides looking nice, the pictures actually convey some information. They're so-called Hasse diagrams of the root systems of a few affine Lie algebras. From left to right we have the following affine algebras: (a) A1+, (b) C2+, (c) D4+, (d) A8+, (e) D7+, and (f) E7+. But luckily you don't need to fully understand the mathematical background, which is admittedly quite complicated, to enjoy their beauty.

1 comment:

  1. Hi,
    I like your picture, I was wondering if you mind if I'd use it for my lecture notes for a Masters course at the University of Bern (crediting you as source, of course)? Also, I'm curious about your PhD thesis, could I get a PDF copy of it?

    Thanks,

    Susanne

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