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Apr 20, 2018 at 6:51 comment added Jyrki Lahtonen I'm a bit sad to hear you think of your book as now-ancient. I lugged it with me in the 80s. Even had with me on the Finnish army reserve forces bootcamp in the summer of '87. I did my conscript duty in coastal artillery. So when we needed any math done, your book gave me enough street cred, and the officers would not question my math.
Feb 6, 2017 at 14:52 comment added Jim Humphreys The references I've made are to Bourbaki's treatise Groupes et algebres de Lie, published in English by Springer under the title Lie Groups and Lie Algebras. The relevant chapters are mainly 6 and 8, though as I remarked there are essential references to 5 in some exercises. Since my 1972 book didn't include affine Weyl groups, it's probably best to follow the case-by-case treatment based on the classification (as in Table 1 of $\S13$) even though this is not so elegant.
Feb 6, 2017 at 6:38 comment added Learn_Math Thanks for comments; which part of Bourbaki's series the book is? Also can you suggest some points for the problem above? The solution posted is also partially not clear which I already commented there.
S Feb 6, 2017 at 1:22 history answered Jim Humphreys CC BY-SA 3.0
S Feb 6, 2017 at 1:22 history made wiki Post Made Community Wiki by Jim Humphreys