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Timeline for Folding by Automorphisms

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Nov 30, 2009 at 20:10 comment added Kevin McGerty The example of affine algebras is perhaps in that case: the loop realization allows you to calculate the roots of the affine Lie algebras, and you need the diagram automorphisms of the finite-type algebras in order to get all the affine types. I don't know of another way to calculate the roots and their multiplicities.
Nov 30, 2009 at 15:56 comment added Greg Kuperberg This certainly counts as a case when you can do it, but not quite as a case when you "need" it. Although arguably any time you do "need" it, it is an invitation to find a more direct argument.
Nov 30, 2009 at 14:11 history answered Kevin McGerty CC BY-SA 2.5