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I was recommended to consult a mathematical text:

E. B. Dynkin, “Semisimple subalgebras of semisimple Lie algebras”, Mat. Sb. (N.S.), 30(72):2 (1952), 349–462.

But I find that the paper is written in Russian русский: http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sm&paperid=5435&option_lang=eng http://www.mathnet.ru/links/83b544bbde2b8abefdb3d6ede25dcb92/sm5435.pdf

Do we know any English translation of the original paper? Thank you - please provide the English version link.

Arctic Char
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wonderich
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1 Answers1

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The paper was translated into English in American Mathematical Society Translations: Series 2, Volume 6, 1957 DOI:10.1090/trans2/006 You should check your local libraries for journal holdings. Most math departments would have collected this journal. Here is a very partial find in a library mostly reporting libraries which have only a few volumes of this journal (including the desired volume).

Since 2000, it is also available in Dynkin's Selected Papers MR1757976 Find in a library. The paper begins on page 175.

Jack Schmidt
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  • thanks +1. Is the PDF file freely available in one of the link? – wonderich Jul 28 '21 at 18:25
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    I did not see a free and legal PDF file (unless your institution is some sort of Gold level AMS member), but the paper is 130 pages long with lots of tables. I have often found paper versions of such things to be easier to read (especially when tables span multiple pages). The book is pretty commonly held in libraries -- you might check your local library. He has a few other highly cited papers as well in there. – Jack Schmidt Jul 28 '21 at 18:32