I am looking for a free online-resource(adsbygoogle = window.adsbygoogle || []).push({}); sketching

i) the way from Lie algebras to root systems and classification via Dynkin diagrams and

ii) back to the Lie Algebra via reconstruction based on the information encoded in the Dynkin diagram.

I would prefer a short PDF or web page, not a huge book :-)

My main interest is to understand what goes wrong, which steps fail or have to be generalized when starting ii) with a Dynkin diagramnotcontained in the A-, B-, C-, D-, E- F, G-series, e.g. E_{9}or E_{10}.

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# A From Lie algebras to Dynkin diagrams and back again

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