Timeline for Dual of The Lie Bracket
Current License: CC BY-SA 2.5
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Dec 8, 2010 at 6:41 | comment | added | Theo Johnson-Freyd | This is morally correct but technically wrong, as pointed out in Jose's answer and the comments to the question (including yours). But, yes, I do agree at a moral level that the bracket and the differential are dual. One way to make this precise, as you probably know but I'll mention it for other readers, is the Koszul duality between Lie algebra/oids and differential graded commutative algebras. When applied to tangent bundle, this Koszul duality returns the de Rham complex. | |
Dec 8, 2010 at 2:46 | comment | added | drbobmeister | What particular book did you have in mind? | |
Dec 7, 2010 at 23:30 | history | answered | Victor Protsak | CC BY-SA 2.5 |