Timeline for Why is Lie's Third Theorem difficult?
Current License: CC BY-SA 2.5
4 events
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Dec 13, 2009 at 20:08 | vote | accept | Theo Johnson-Freyd | ||
Dec 13, 2009 at 19:56 | comment | added | Pete L. Clark | I agree with MSA. Look in Serre's Lie Algebras and Lie Groups: he proves Lie III for Lie algebras over any nondiscrete, locally compact field. Part I of the book is on Lie algebras, but it is generally agreed that it covers only the more formal aspects and not the fine structure theory of Lie algebras: e.g. no roots or weights. (His book Complex Semisimple Lie Algebras has more of this sort of thing.) Accordingly, I am no expert but I would say that Lie III is in fact not that difficult compared to some other big theorems in basic Lie theory. | |
Dec 13, 2009 at 19:46 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
ALways give a reference... Serre has too many books
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Dec 13, 2009 at 19:41 | history | answered | Mariano Suárez-Álvarez | CC BY-SA 2.5 |